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Finding the Fourth Proportional to 71,764.56, 107,442 and 56,994.48

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Solution

The fourth proportional to 71,764.56, 107,442 and 56,994.48 is: 85,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,764.56 : 107,442 = 56,994.48 : x
  2. Step 2: Convert to fraction form
    71,764.56/107,442 = 56,994.48/x
  3. Step 3: Cross multiply
    71,764.56x = 107,442 × 56,994.48
  4. Step 4: Simplify right side
    71,764.56x = 6,123,600,920.16
  5. Step 5: Solve for x
    x = 6,123,600,920.16/71,764.56
  6. Step 6: Final answer
    x = 85,329.04

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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.