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Finding the Fourth Proportional to 80,135.52, 120,197.52 and 35,766.24

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Solution

The fourth proportional to 80,135.52, 120,197.52 and 35,766.24 is: 53,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,135.52 : 120,197.52 = 35,766.24 : x
  2. Step 2: Convert to fraction form
    80,135.52/120,197.52 = 35,766.24/x
  3. Step 3: Cross multiply
    80,135.52x = 120,197.52 × 35,766.24
  4. Step 4: Simplify right side
    80,135.52x = 4,299,013,347.72
  5. Step 5: Solve for x
    x = 4,299,013,347.72/80,135.52
  6. Step 6: Final answer
    x = 53,646.79

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1.5x scale

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.