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Finding the Fourth Proportional to 83,847.78, 115,702.86 and 49,387.02

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Solution

The fourth proportional to 83,847.78, 115,702.86 and 49,387.02 is: 68,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,847.78 : 115,702.86 = 49,387.02 : x
  2. Step 2: Convert to fraction form
    83,847.78/115,702.86 = 49,387.02/x
  3. Step 3: Cross multiply
    83,847.78x = 115,702.86 × 49,387.02
  4. Step 4: Simplify right side
    83,847.78x = 5,714,219,460.88
  5. Step 5: Solve for x
    x = 5,714,219,460.88/83,847.78
  6. Step 6: Final answer
    x = 68,149.92

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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.