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Finding the Fourth Proportional to 67,182.65, 100,770.32 and 20,431.88

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Solution

The fourth proportional to 67,182.65, 100,770.32 and 20,431.88 is: 30,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,182.65 : 100,770.32 = 20,431.88 : x
  2. Step 2: Convert to fraction form
    67,182.65/100,770.32 = 20,431.88/x
  3. Step 3: Cross multiply
    67,182.65x = 100,770.32 × 20,431.88
  4. Step 4: Simplify right side
    67,182.65x = 2,058,926,479.79
  5. Step 5: Solve for x
    x = 2,058,926,479.79/67,182.65
  6. Step 6: Final answer
    x = 30,646.70

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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.