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Finding the Fourth Proportional to 260,092.80, 390,139.20 and 82,613.70

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Solution

The fourth proportional to 260,092.80, 390,139.20 and 82,613.70 is: 123,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,092.80 : 390,139.20 = 82,613.70 : x
  2. Step 2: Convert to fraction form
    260,092.80/390,139.20 = 82,613.70/x
  3. Step 3: Cross multiply
    260,092.80x = 390,139.20 × 82,613.70
  4. Step 4: Simplify right side
    260,092.80x = 32,230,842,827.04
  5. Step 5: Solve for x
    x = 32,230,842,827.04/260,092.80
  6. Step 6: Final answer
    x = 123,920.55

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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.