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Finding the Fourth Proportional to 99,937.52, 137,909.68 and 54,617

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Solution

The fourth proportional to 99,937.52, 137,909.68 and 54,617 is: 75,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,937.52 : 137,909.68 = 54,617 : x
  2. Step 2: Convert to fraction form
    99,937.52/137,909.68 = 54,617/x
  3. Step 3: Cross multiply
    99,937.52x = 137,909.68 × 54,617
  4. Step 4: Simplify right side
    99,937.52x = 7,532,212,992.56
  5. Step 5: Solve for x
    x = 7,532,212,992.56/99,937.52
  6. Step 6: Final answer
    x = 75,369.22

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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.