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Finding the Fourth Proportional to 83,953.80, 115,869.56 and 49,963.77

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Solution

The fourth proportional to 83,953.80, 115,869.56 and 49,963.77 is: 68,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,953.80 : 115,869.56 = 49,963.77 : x
  2. Step 2: Convert to fraction form
    83,953.80/115,869.56 = 49,963.77/x
  3. Step 3: Cross multiply
    83,953.80x = 115,869.56 × 49,963.77
  4. Step 4: Simplify right side
    83,953.80x = 5,789,279,796.02
  5. Step 5: Solve for x
    x = 5,789,279,796.02/83,953.80
  6. Step 6: Final answer
    x = 68,957.92

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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.