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Finding the Fourth Proportional to 80,347.85, 120,529.76 and 29,760.40

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Solution

The fourth proportional to 80,347.85, 120,529.76 and 29,760.40 is: 44,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,347.85 : 120,529.76 = 29,760.40 : x
  2. Step 2: Convert to fraction form
    80,347.85/120,529.76 = 29,760.40/x
  3. Step 3: Cross multiply
    80,347.85x = 120,529.76 × 29,760.40
  4. Step 4: Simplify right side
    80,347.85x = 3,587,013,419.38
  5. Step 5: Solve for x
    x = 3,587,013,419.38/80,347.85
  6. Step 6: Final answer
    x = 44,643.55

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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.