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Finding the Fourth Proportional to 67,872.80, 101,809.20 and 18,624.80

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Solution

The fourth proportional to 67,872.80, 101,809.20 and 18,624.80 is: 27,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,872.80 : 101,809.20 = 18,624.80 : x
  2. Step 2: Convert to fraction form
    67,872.80/101,809.20 = 18,624.80/x
  3. Step 3: Cross multiply
    67,872.80x = 101,809.20 × 18,624.80
  4. Step 4: Simplify right side
    67,872.80x = 1,896,175,988.16
  5. Step 5: Solve for x
    x = 1,896,175,988.16/67,872.80
  6. Step 6: Final answer
    x = 27,937.20

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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.