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Finding the Fourth Proportional to 270,693.80, 406,098.30 and 83,724.20

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Solution

The fourth proportional to 270,693.80, 406,098.30 and 83,724.20 is: 125,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,693.80 : 406,098.30 = 83,724.20 : x
  2. Step 2: Convert to fraction form
    270,693.80/406,098.30 = 83,724.20/x
  3. Step 3: Cross multiply
    270,693.80x = 406,098.30 × 83,724.20
  4. Step 4: Simplify right side
    270,693.80x = 34,000,255,288.86
  5. Step 5: Solve for x
    x = 34,000,255,288.86/270,693.80
  6. Step 6: Final answer
    x = 125,604.12

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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.