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Finding the Fourth Proportional to 71,897.49, 107,747.82 and 45,620.73

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Solution

The fourth proportional to 71,897.49, 107,747.82 and 45,620.73 is: 68,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,897.49 : 107,747.82 = 45,620.73 : x
  2. Step 2: Convert to fraction form
    71,897.49/107,747.82 = 45,620.73/x
  3. Step 3: Cross multiply
    71,897.49x = 107,747.82 × 45,620.73
  4. Step 4: Simplify right side
    71,897.49x = 4,915,534,204.31
  5. Step 5: Solve for x
    x = 4,915,534,204.31/71,897.49
  6. Step 6: Final answer
    x = 68,368.65

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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.