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Finding the Fourth Proportional to 83,992.60, 125,843.10 and 70,870.60

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Solution

The fourth proportional to 83,992.60, 125,843.10 and 70,870.60 is: 106,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,992.60 : 125,843.10 = 70,870.60 : x
  2. Step 2: Convert to fraction form
    83,992.60/125,843.10 = 70,870.60/x
  3. Step 3: Cross multiply
    83,992.60x = 125,843.10 × 70,870.60
  4. Step 4: Simplify right side
    83,992.60x = 8,918,576,002.86
  5. Step 5: Solve for x
    x = 8,918,576,002.86/83,992.60
  6. Step 6: Final answer
    x = 106,182.88

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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.