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Finding the Fourth Proportional to 287,839.31, 431,759.93 and 88,158.78

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Solution

The fourth proportional to 287,839.31, 431,759.93 and 88,158.78 is: 132,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,839.31 : 431,759.93 = 88,158.78 : x
  2. Step 2: Convert to fraction form
    287,839.31/431,759.93 = 88,158.78/x
  3. Step 3: Cross multiply
    287,839.31x = 431,759.93 × 88,158.78
  4. Step 4: Simplify right side
    287,839.31x = 38,063,428,240.89
  5. Step 5: Solve for x
    x = 38,063,428,240.89/287,839.31
  6. Step 6: Final answer
    x = 132,238.47

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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.