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Finding the Fourth Proportional to 188,160.64, 282,169.80 and 75,802.72

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Solution

The fourth proportional to 188,160.64, 282,169.80 and 75,802.72 is: 113,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,160.64 : 282,169.80 = 75,802.72 : x
  2. Step 2: Convert to fraction form
    188,160.64/282,169.80 = 75,802.72/x
  3. Step 3: Cross multiply
    188,160.64x = 282,169.80 × 75,802.72
  4. Step 4: Simplify right side
    188,160.64x = 21,389,238,341.86
  5. Step 5: Solve for x
    x = 21,389,238,341.86/188,160.64
  6. Step 6: Final answer
    x = 113,675.41

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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.