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Finding the Fourth Proportional to 82,246.40, 123,398.40 and 29,657.60

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Solution

The fourth proportional to 82,246.40, 123,398.40 and 29,657.60 is: 44,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,246.40 : 123,398.40 = 29,657.60 : x
  2. Step 2: Convert to fraction form
    82,246.40/123,398.40 = 29,657.60/x
  3. Step 3: Cross multiply
    82,246.40x = 123,398.40 × 29,657.60
  4. Step 4: Simplify right side
    82,246.40x = 3,659,700,387.84
  5. Step 5: Solve for x
    x = 3,659,700,387.84/82,246.40
  6. Step 6: Final answer
    x = 44,496.79

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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.