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Finding the Fourth Proportional to 130,452.60, 195,419.70 and 71,182.20

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Solution

The fourth proportional to 130,452.60, 195,419.70 and 71,182.20 is: 106,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,452.60 : 195,419.70 = 71,182.20 : x
  2. Step 2: Convert to fraction form
    130,452.60/195,419.70 = 71,182.20/x
  3. Step 3: Cross multiply
    130,452.60x = 195,419.70 × 71,182.20
  4. Step 4: Simplify right side
    130,452.60x = 13,910,404,169.34
  5. Step 5: Solve for x
    x = 13,910,404,169.34/130,452.60
  6. Step 6: Final answer
    x = 106,631.87

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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.