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Finding the Fourth Proportional to 99,776.88, 137,691.90 and 57,335.31

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Solution

The fourth proportional to 99,776.88, 137,691.90 and 57,335.31 is: 79,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,776.88 : 137,691.90 = 57,335.31 : x
  2. Step 2: Convert to fraction form
    99,776.88/137,691.90 = 57,335.31/x
  3. Step 3: Cross multiply
    99,776.88x = 137,691.90 × 57,335.31
  4. Step 4: Simplify right side
    99,776.88x = 7,894,607,770.99
  5. Step 5: Solve for x
    x = 7,894,607,770.99/99,776.88
  6. Step 6: Final answer
    x = 79,122.62

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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.