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Finding the Fourth Proportional to 148,781.12, 205,319.40 and 81,713.12

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Solution

The fourth proportional to 148,781.12, 205,319.40 and 81,713.12 is: 112,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,781.12 : 205,319.40 = 81,713.12 : x
  2. Step 2: Convert to fraction form
    148,781.12/205,319.40 = 81,713.12/x
  3. Step 3: Cross multiply
    148,781.12x = 205,319.40 × 81,713.12
  4. Step 4: Simplify right side
    148,781.12x = 16,777,288,770.53
  5. Step 5: Solve for x
    x = 16,777,288,770.53/148,781.12
  6. Step 6: Final answer
    x = 112,764.90

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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.