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Finding the Fourth Proportional to 83,633.91, 125,449.77 and 20,454.58

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Solution

The fourth proportional to 83,633.91, 125,449.77 and 20,454.58 is: 30,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,633.91 : 125,449.77 = 20,454.58 : x
  2. Step 2: Convert to fraction form
    83,633.91/125,449.77 = 20,454.58/x
  3. Step 3: Cross multiply
    83,633.91x = 125,449.77 × 20,454.58
  4. Step 4: Simplify right side
    83,633.91x = 2,566,021,729.20
  5. Step 5: Solve for x
    x = 2,566,021,729.20/83,633.91
  6. Step 6: Final answer
    x = 30,681.60

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1.5x scale

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.