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Finding the Fourth Proportional to 83,878.91, 115,714.75 and 49,868.10

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Solution

The fourth proportional to 83,878.91, 115,714.75 and 49,868.10 is: 68,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,878.91 : 115,714.75 = 49,868.10 : x
  2. Step 2: Convert to fraction form
    83,878.91/115,714.75 = 49,868.10/x
  3. Step 3: Cross multiply
    83,878.91x = 115,714.75 × 49,868.10
  4. Step 4: Simplify right side
    83,878.91x = 5,770,474,475.13
  5. Step 5: Solve for x
    x = 5,770,474,475.13/83,878.91
  6. Step 6: Final answer
    x = 68,795.30

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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.