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Finding the Fourth Proportional to 82,279.60, 123,419.40 and 47,287.60

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Solution

The fourth proportional to 82,279.60, 123,419.40 and 47,287.60 is: 70,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,279.60 : 123,419.40 = 47,287.60 : x
  2. Step 2: Convert to fraction form
    82,279.60/123,419.40 = 47,287.60/x
  3. Step 3: Cross multiply
    82,279.60x = 123,419.40 × 47,287.60
  4. Step 4: Simplify right side
    82,279.60x = 5,836,207,219.44
  5. Step 5: Solve for x
    x = 5,836,207,219.44/82,279.60
  6. Step 6: Final answer
    x = 70,931.40

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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.