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Finding the Fourth Proportional to 83,842.57, 115,695.84 and 49,381.93

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Solution

The fourth proportional to 83,842.57, 115,695.84 and 49,381.93 is: 68,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,842.57 : 115,695.84 = 49,381.93 : x
  2. Step 2: Convert to fraction form
    83,842.57/115,695.84 = 49,381.93/x
  3. Step 3: Cross multiply
    83,842.57x = 115,695.84 × 49,381.93
  4. Step 4: Simplify right side
    83,842.57x = 5,713,283,872.17
  5. Step 5: Solve for x
    x = 5,713,283,872.17/83,842.57
  6. Step 6: Final answer
    x = 68,143.00

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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.