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Finding the Fourth Proportional to 287,925.28, 431,970.92 and 88,275.12

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Solution

The fourth proportional to 287,925.28, 431,970.92 and 88,275.12 is: 132,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,925.28 : 431,970.92 = 88,275.12 : x
  2. Step 2: Convert to fraction form
    287,925.28/431,970.92 = 88,275.12/x
  3. Step 3: Cross multiply
    287,925.28x = 431,970.92 × 88,275.12
  4. Step 4: Simplify right side
    287,925.28x = 38,132,283,565.82
  5. Step 5: Solve for x
    x = 38,132,283,565.82/287,925.28
  6. Step 6: Final answer
    x = 132,438.12

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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.