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Finding the Fourth Proportional to 82,891.53, 114,391.17 and 45,165.78

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Solution

The fourth proportional to 82,891.53, 114,391.17 and 45,165.78 is: 62,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,891.53 : 114,391.17 = 45,165.78 : x
  2. Step 2: Convert to fraction form
    82,891.53/114,391.17 = 45,165.78/x
  3. Step 3: Cross multiply
    82,891.53x = 114,391.17 × 45,165.78
  4. Step 4: Simplify right side
    82,891.53x = 5,166,566,418.16
  5. Step 5: Solve for x
    x = 5,166,566,418.16/82,891.53
  6. Step 6: Final answer
    x = 62,329.24

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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.