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Finding the Fourth Proportional to 99,542, 137,367.96 and 54,830

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Solution

The fourth proportional to 99,542, 137,367.96 and 54,830 is: 75,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542 : 137,367.96 = 54,830 : x
  2. Step 2: Convert to fraction form
    99,542/137,367.96 = 54,830/x
  3. Step 3: Cross multiply
    99,542x = 137,367.96 × 54,830
  4. Step 4: Simplify right side
    99,542x = 7,531,885,246.80
  5. Step 5: Solve for x
    x = 7,531,885,246.80/99,542
  6. Step 6: Final answer
    x = 75,665.40

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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.