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Finding the Fourth Proportional to 99,542.88, 137,369.18 and 54,830.88

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Solution

The fourth proportional to 99,542.88, 137,369.18 and 54,830.88 is: 75,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542.88 : 137,369.18 = 54,830.88 : x
  2. Step 2: Convert to fraction form
    99,542.88/137,369.18 = 54,830.88/x
  3. Step 3: Cross multiply
    99,542.88x = 137,369.18 × 54,830.88
  4. Step 4: Simplify right side
    99,542.88x = 7,532,073,024.28
  5. Step 5: Solve for x
    x = 7,532,073,024.28/99,542.88
  6. Step 6: Final answer
    x = 75,666.62

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1.5x scale

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.