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Finding the Fourth Proportional to 80,069.16, 120,205.80 and 65,306.88

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Solution

The fourth proportional to 80,069.16, 120,205.80 and 65,306.88 is: 98,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,069.16 : 120,205.80 = 65,306.88 : x
  2. Step 2: Convert to fraction form
    80,069.16/120,205.80 = 65,306.88/x
  3. Step 3: Cross multiply
    80,069.16x = 120,205.80 × 65,306.88
  4. Step 4: Simplify right side
    80,069.16x = 7,850,265,755.90
  5. Step 5: Solve for x
    x = 7,850,265,755.90/80,069.16
  6. Step 6: Final answer
    x = 98,043.56

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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.