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Finding the Fourth Proportional to 67,839, 93,617.82 and 38,031

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Solution

The fourth proportional to 67,839, 93,617.82 and 38,031 is: 52,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,839 : 93,617.82 = 38,031 : x
  2. Step 2: Convert to fraction form
    67,839/93,617.82 = 38,031/x
  3. Step 3: Cross multiply
    67,839x = 93,617.82 × 38,031
  4. Step 4: Simplify right side
    67,839x = 3,560,379,312.42
  5. Step 5: Solve for x
    x = 3,560,379,312.42/67,839
  6. Step 6: Final answer
    x = 52,482.78

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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.