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Finding the Fourth Proportional to 129,891.60, 194,837.40 and 82,652.40

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Solution

The fourth proportional to 129,891.60, 194,837.40 and 82,652.40 is: 123,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,891.60 : 194,837.40 = 82,652.40 : x
  2. Step 2: Convert to fraction form
    129,891.60/194,837.40 = 82,652.40/x
  3. Step 3: Cross multiply
    129,891.60x = 194,837.40 × 82,652.40
  4. Step 4: Simplify right side
    129,891.60x = 16,103,778,719.76
  5. Step 5: Solve for x
    x = 16,103,778,719.76/129,891.60
  6. Step 6: Final answer
    x = 123,978.60

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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.