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Finding the Fourth Proportional to 80,459.70, 120,700.15 and 29,851.84

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Solution

The fourth proportional to 80,459.70, 120,700.15 and 29,851.84 is: 44,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,459.70 : 120,700.15 = 29,851.84 : x
  2. Step 2: Convert to fraction form
    80,459.70/120,700.15 = 29,851.84/x
  3. Step 3: Cross multiply
    80,459.70x = 120,700.15 × 29,851.84
  4. Step 4: Simplify right side
    80,459.70x = 3,603,121,565.78
  5. Step 5: Solve for x
    x = 3,603,121,565.78/80,459.70
  6. Step 6: Final answer
    x = 44,781.69

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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.