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Finding the Fourth Proportional to 82,278.16, 123,423 and 40,714

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Solution

The fourth proportional to 82,278.16, 123,423 and 40,714 is: 61,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,278.16 : 123,423 = 40,714 : x
  2. Step 2: Convert to fraction form
    82,278.16/123,423 = 40,714/x
  3. Step 3: Cross multiply
    82,278.16x = 123,423 × 40,714
  4. Step 4: Simplify right side
    82,278.16x = 5,025,044,022
  5. Step 5: Solve for x
    x = 5,025,044,022/82,278.16
  6. Step 6: Final answer
    x = 61,073.85

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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.