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Finding the Fourth Proportional to 99,470.77, 137,268.23 and 54,149.11

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Solution

The fourth proportional to 99,470.77, 137,268.23 and 54,149.11 is: 74,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470.77 : 137,268.23 = 54,149.11 : x
  2. Step 2: Convert to fraction form
    99,470.77/137,268.23 = 54,149.11/x
  3. Step 3: Cross multiply
    99,470.77x = 137,268.23 × 54,149.11
  4. Step 4: Simplify right side
    99,470.77x = 7,432,951,871.86
  5. Step 5: Solve for x
    x = 7,432,951,871.86/99,470.77
  6. Step 6: Final answer
    x = 74,724.99

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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.