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Finding the Fourth Proportional to 84,073.96, 126,123.90 and 28,657

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Solution

The fourth proportional to 84,073.96, 126,123.90 and 28,657 is: 42,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,073.96 : 126,123.90 = 28,657 : x
  2. Step 2: Convert to fraction form
    84,073.96/126,123.90 = 28,657/x
  3. Step 3: Cross multiply
    84,073.96x = 126,123.90 × 28,657
  4. Step 4: Simplify right side
    84,073.96x = 3,614,332,602.30
  5. Step 5: Solve for x
    x = 3,614,332,602.30/84,073.96
  6. Step 6: Final answer
    x = 42,989.92

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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.