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Finding the Fourth Proportional to 148,294.52, 204,646.70 and 80,311.30

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Solution

The fourth proportional to 148,294.52, 204,646.70 and 80,311.30 is: 110,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,294.52 : 204,646.70 = 80,311.30 : x
  2. Step 2: Convert to fraction form
    148,294.52/204,646.70 = 80,311.30/x
  3. Step 3: Cross multiply
    148,294.52x = 204,646.70 × 80,311.30
  4. Step 4: Simplify right side
    148,294.52x = 16,435,442,206.87
  5. Step 5: Solve for x
    x = 16,435,442,206.87/148,294.52
  6. Step 6: Final answer
    x = 110,829.73

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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.