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Finding the Fourth Proportional to 218,081.52, 300,948.12 and 122,587.20

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Solution

The fourth proportional to 218,081.52, 300,948.12 and 122,587.20 is: 169,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,081.52 : 300,948.12 = 122,587.20 : x
  2. Step 2: Convert to fraction form
    218,081.52/300,948.12 = 122,587.20/x
  3. Step 3: Cross multiply
    218,081.52x = 300,948.12 × 122,587.20
  4. Step 4: Simplify right side
    218,081.52x = 36,892,387,376.06
  5. Step 5: Solve for x
    x = 36,892,387,376.06/218,081.52
  6. Step 6: Final answer
    x = 169,167.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.