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Finding the Fourth Proportional to 73,915.20, 102,000.80 and 40,381.20

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Solution

The fourth proportional to 73,915.20, 102,000.80 and 40,381.20 is: 55,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,915.20 : 102,000.80 = 40,381.20 : x
  2. Step 2: Convert to fraction form
    73,915.20/102,000.80 = 40,381.20/x
  3. Step 3: Cross multiply
    73,915.20x = 102,000.80 × 40,381.20
  4. Step 4: Simplify right side
    73,915.20x = 4,118,914,704.96
  5. Step 5: Solve for x
    x = 4,118,914,704.96/73,915.20
  6. Step 6: Final answer
    x = 55,724.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.