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Finding the Fourth Proportional to 83,843.10, 125,617.02 and 78,848.54

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Solution

The fourth proportional to 83,843.10, 125,617.02 and 78,848.54 is: 118,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.10 : 125,617.02 = 78,848.54 : x
  2. Step 2: Convert to fraction form
    83,843.10/125,617.02 = 78,848.54/x
  3. Step 3: Cross multiply
    83,843.10x = 125,617.02 × 78,848.54
  4. Step 4: Simplify right side
    83,843.10x = 9,904,718,921.83
  5. Step 5: Solve for x
    x = 9,904,718,921.83/83,843.10
  6. Step 6: Final answer
    x = 118,133.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.