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Finding the Fourth Proportional to 67,824.80, 101,785.80 and 38,211.20

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Solution

The fourth proportional to 67,824.80, 101,785.80 and 38,211.20 is: 57,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824.80 : 101,785.80 = 38,211.20 : x
  2. Step 2: Convert to fraction form
    67,824.80/101,785.80 = 38,211.20/x
  3. Step 3: Cross multiply
    67,824.80x = 101,785.80 × 38,211.20
  4. Step 4: Simplify right side
    67,824.80x = 3,889,357,560.96
  5. Step 5: Solve for x
    x = 3,889,357,560.96/67,824.80
  6. Step 6: Final answer
    x = 57,344.18

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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.