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Finding the Fourth Proportional to 83,978.44, 115,905.35 and 48,180.30

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Solution

The fourth proportional to 83,978.44, 115,905.35 and 48,180.30 is: 66,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,978.44 : 115,905.35 = 48,180.30 : x
  2. Step 2: Convert to fraction form
    83,978.44/115,905.35 = 48,180.30/x
  3. Step 3: Cross multiply
    83,978.44x = 115,905.35 × 48,180.30
  4. Step 4: Simplify right side
    83,978.44x = 5,584,354,534.61
  5. Step 5: Solve for x
    x = 5,584,354,534.61/83,978.44
  6. Step 6: Final answer
    x = 66,497.48

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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.