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Finding the Fourth Proportional to 83,883.77, 115,715.49 and 49,868.06

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Solution

The fourth proportional to 83,883.77, 115,715.49 and 49,868.06 is: 68,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,883.77 : 115,715.49 = 49,868.06 : x
  2. Step 2: Convert to fraction form
    83,883.77/115,715.49 = 49,868.06/x
  3. Step 3: Cross multiply
    83,883.77x = 115,715.49 × 49,868.06
  4. Step 4: Simplify right side
    83,883.77x = 5,770,506,748.91
  5. Step 5: Solve for x
    x = 5,770,506,748.91/83,883.77
  6. Step 6: Final answer
    x = 68,791.70

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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.