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Finding the Fourth Proportional to 215,279.80, 322,766.10 and 96,854.20

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Solution

The fourth proportional to 215,279.80, 322,766.10 and 96,854.20 is: 145,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,279.80 : 322,766.10 = 96,854.20 : x
  2. Step 2: Convert to fraction form
    215,279.80/322,766.10 = 96,854.20/x
  3. Step 3: Cross multiply
    215,279.80x = 322,766.10 × 96,854.20
  4. Step 4: Simplify right side
    215,279.80x = 31,261,252,402.62
  5. Step 5: Solve for x
    x = 31,261,252,402.62/215,279.80
  6. Step 6: Final answer
    x = 145,212.20

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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.