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Finding the Fourth Proportional to 83,482.56, 125,229.60 and 30,890.88

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Solution

The fourth proportional to 83,482.56, 125,229.60 and 30,890.88 is: 46,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,482.56 : 125,229.60 = 30,890.88 : x
  2. Step 2: Convert to fraction form
    83,482.56/125,229.60 = 30,890.88/x
  3. Step 3: Cross multiply
    83,482.56x = 125,229.60 × 30,890.88
  4. Step 4: Simplify right side
    83,482.56x = 3,868,452,546.05
  5. Step 5: Solve for x
    x = 3,868,452,546.05/83,482.56
  6. Step 6: Final answer
    x = 46,338.45

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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.