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Finding the Fourth Proportional to 99,542.89, 137,369.16 and 54,830.89

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Solution

The fourth proportional to 99,542.89, 137,369.16 and 54,830.89 is: 75,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542.89 : 137,369.16 = 54,830.89 : x
  2. Step 2: Convert to fraction form
    99,542.89/137,369.16 = 54,830.89/x
  3. Step 3: Cross multiply
    99,542.89x = 137,369.16 × 54,830.89
  4. Step 4: Simplify right side
    99,542.89x = 7,532,073,301.35
  5. Step 5: Solve for x
    x = 7,532,073,301.35/99,542.89
  6. Step 6: Final answer
    x = 75,666.61

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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.