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Finding the Fourth Proportional to 281,747.86, 422,646.39 and 71,385.80

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Solution

The fourth proportional to 281,747.86, 422,646.39 and 71,385.80 is: 107,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,747.86 : 422,646.39 = 71,385.80 : x
  2. Step 2: Convert to fraction form
    281,747.86/422,646.39 = 71,385.80/x
  3. Step 3: Cross multiply
    281,747.86x = 422,646.39 × 71,385.80
  4. Step 4: Simplify right side
    281,747.86x = 30,170,948,554.03
  5. Step 5: Solve for x
    x = 30,170,948,554.03/281,747.86
  6. Step 6: Final answer
    x = 107,084.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.