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Finding the Fourth Proportional to 188,128.71, 282,221.42 and 54,992.25

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Solution

The fourth proportional to 188,128.71, 282,221.42 and 54,992.25 is: 82,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,128.71 : 282,221.42 = 54,992.25 : x
  2. Step 2: Convert to fraction form
    188,128.71/282,221.42 = 54,992.25/x
  3. Step 3: Cross multiply
    188,128.71x = 282,221.42 × 54,992.25
  4. Step 4: Simplify right side
    188,128.71x = 15,519,990,609.03
  5. Step 5: Solve for x
    x = 15,519,990,609.03/188,128.71
  6. Step 6: Final answer
    x = 82,496.66

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.