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Finding the Fourth Proportional to 99,541.38, 137,367.11 and 54,829.38

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Solution

The fourth proportional to 99,541.38, 137,367.11 and 54,829.38 is: 75,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,541.38 : 137,367.11 = 54,829.38 : x
  2. Step 2: Convert to fraction form
    99,541.38/137,367.11 = 54,829.38/x
  3. Step 3: Cross multiply
    99,541.38x = 137,367.11 × 54,829.38
  4. Step 4: Simplify right side
    99,541.38x = 7,531,753,473.69
  5. Step 5: Solve for x
    x = 7,531,753,473.69/99,541.38
  6. Step 6: Final answer
    x = 75,664.55

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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.