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Finding the Fourth Proportional to 160,103.40, 240,082.20 and 71,311.20

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Solution

The fourth proportional to 160,103.40, 240,082.20 and 71,311.20 is: 106,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,103.40 : 240,082.20 = 71,311.20 : x
  2. Step 2: Convert to fraction form
    160,103.40/240,082.20 = 71,311.20/x
  3. Step 3: Cross multiply
    160,103.40x = 240,082.20 × 71,311.20
  4. Step 4: Simplify right side
    160,103.40x = 17,120,549,780.64
  5. Step 5: Solve for x
    x = 17,120,549,780.64/160,103.40
  6. Step 6: Final answer
    x = 106,934.33

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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.