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Finding the Fourth Proportional to 99,414, 137,191.32 and 54,702

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Solution

The fourth proportional to 99,414, 137,191.32 and 54,702 is: 75,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,414 : 137,191.32 = 54,702 : x
  2. Step 2: Convert to fraction form
    99,414/137,191.32 = 54,702/x
  3. Step 3: Cross multiply
    99,414x = 137,191.32 × 54,702
  4. Step 4: Simplify right side
    99,414x = 7,504,639,586.64
  5. Step 5: Solve for x
    x = 7,504,639,586.64/99,414
  6. Step 6: Final answer
    x = 75,488.76

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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.