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Finding the Fourth Proportional to 133,037.54, 199,549.02 and 80,432.90

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Solution

The fourth proportional to 133,037.54, 199,549.02 and 80,432.90 is: 120,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,037.54 : 199,549.02 = 80,432.90 : x
  2. Step 2: Convert to fraction form
    133,037.54/199,549.02 = 80,432.90/x
  3. Step 3: Cross multiply
    133,037.54x = 199,549.02 × 80,432.90
  4. Step 4: Simplify right side
    133,037.54x = 16,050,306,370.76
  5. Step 5: Solve for x
    x = 16,050,306,370.76/133,037.54
  6. Step 6: Final answer
    x = 120,644.94

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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.