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Finding the Fourth Proportional to 123,772.32, 170,787.29 and 72,781.20

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Solution

The fourth proportional to 123,772.32, 170,787.29 and 72,781.20 is: 100,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,772.32 : 170,787.29 = 72,781.20 : x
  2. Step 2: Convert to fraction form
    123,772.32/170,787.29 = 72,781.20/x
  3. Step 3: Cross multiply
    123,772.32x = 170,787.29 × 72,781.20
  4. Step 4: Simplify right side
    123,772.32x = 12,430,103,547.04
  5. Step 5: Solve for x
    x = 12,430,103,547.04/123,772.32
  6. Step 6: Final answer
    x = 100,427.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.