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Finding the Fourth Proportional to 83,560.80, 125,348.49 and 30,970.74

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Solution

The fourth proportional to 83,560.80, 125,348.49 and 30,970.74 is: 46,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,560.80 : 125,348.49 = 30,970.74 : x
  2. Step 2: Convert to fraction form
    83,560.80/125,348.49 = 30,970.74/x
  3. Step 3: Cross multiply
    83,560.80x = 125,348.49 × 30,970.74
  4. Step 4: Simplify right side
    83,560.80x = 3,882,135,493.18
  5. Step 5: Solve for x
    x = 3,882,135,493.18/83,560.80
  6. Step 6: Final answer
    x = 46,458.81

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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.