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Finding the Fourth Proportional to 71,391.80, 106,985.30 and 52,524.60

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Solution

The fourth proportional to 71,391.80, 106,985.30 and 52,524.60 is: 78,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,391.80 : 106,985.30 = 52,524.60 : x
  2. Step 2: Convert to fraction form
    71,391.80/106,985.30 = 52,524.60/x
  3. Step 3: Cross multiply
    71,391.80x = 106,985.30 × 52,524.60
  4. Step 4: Simplify right side
    71,391.80x = 5,619,360,088.38
  5. Step 5: Solve for x
    x = 5,619,360,088.38/71,391.80
  6. Step 6: Final answer
    x = 78,711.56

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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.