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Finding the Fourth Proportional to 99,534, 137,356.92 and 54,822

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Solution

The fourth proportional to 99,534, 137,356.92 and 54,822 is: 75,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,534 : 137,356.92 = 54,822 : x
  2. Step 2: Convert to fraction form
    99,534/137,356.92 = 54,822/x
  3. Step 3: Cross multiply
    99,534x = 137,356.92 × 54,822
  4. Step 4: Simplify right side
    99,534x = 7,530,181,068.24
  5. Step 5: Solve for x
    x = 7,530,181,068.24/99,534
  6. Step 6: Final answer
    x = 75,654.36

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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.