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Finding the Fourth Proportional to 80,442, 120,658.08 and 36,056.84

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Solution

The fourth proportional to 80,442, 120,658.08 and 36,056.84 is: 54,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,442 : 120,658.08 = 36,056.84 : x
  2. Step 2: Convert to fraction form
    80,442/120,658.08 = 36,056.84/x
  3. Step 3: Cross multiply
    80,442x = 120,658.08 × 36,056.84
  4. Step 4: Simplify right side
    80,442x = 4,350,549,085.27
  5. Step 5: Solve for x
    x = 4,350,549,085.27/80,442
  6. Step 6: Final answer
    x = 54,083.05

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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.