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Finding the Fourth Proportional to 188,590.14, 283,071.11 and 138,529.71

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Solution

The fourth proportional to 188,590.14, 283,071.11 and 138,529.71 is: 207,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,590.14 : 283,071.11 = 138,529.71 : x
  2. Step 2: Convert to fraction form
    188,590.14/283,071.11 = 138,529.71/x
  3. Step 3: Cross multiply
    188,590.14x = 283,071.11 × 138,529.71
  4. Step 4: Simplify right side
    188,590.14x = 39,213,758,777.68
  5. Step 5: Solve for x
    x = 39,213,758,777.68/188,590.14
  6. Step 6: Final answer
    x = 207,931.12

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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.