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Finding the Fourth Proportional to 125,294.32, 172,938.54 and 77,519.44

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Solution

The fourth proportional to 125,294.32, 172,938.54 and 77,519.44 is: 106,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,294.32 : 172,938.54 = 77,519.44 : x
  2. Step 2: Convert to fraction form
    125,294.32/172,938.54 = 77,519.44/x
  3. Step 3: Cross multiply
    125,294.32x = 172,938.54 × 77,519.44
  4. Step 4: Simplify right side
    125,294.32x = 13,406,098,775.22
  5. Step 5: Solve for x
    x = 13,406,098,775.22/125,294.32
  6. Step 6: Final answer
    x = 106,996.86

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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.