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Finding the Fourth Proportional to 129,972.40, 194,651.40 and 88,193.20

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Solution

The fourth proportional to 129,972.40, 194,651.40 and 88,193.20 is: 132,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,972.40 : 194,651.40 = 88,193.20 : x
  2. Step 2: Convert to fraction form
    129,972.40/194,651.40 = 88,193.20/x
  3. Step 3: Cross multiply
    129,972.40x = 194,651.40 × 88,193.20
  4. Step 4: Simplify right side
    129,972.40x = 17,166,929,850.48
  5. Step 5: Solve for x
    x = 17,166,929,850.48/129,972.40
  6. Step 6: Final answer
    x = 132,081.35

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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.