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Finding the Fourth Proportional to 83,910.56, 125,924.04 and 54,254.88

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Solution

The fourth proportional to 83,910.56, 125,924.04 and 54,254.88 is: 81,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,910.56 : 125,924.04 = 54,254.88 : x
  2. Step 2: Convert to fraction form
    83,910.56/125,924.04 = 54,254.88/x
  3. Step 3: Cross multiply
    83,910.56x = 125,924.04 × 54,254.88
  4. Step 4: Simplify right side
    83,910.56x = 6,831,993,679.32
  5. Step 5: Solve for x
    x = 6,831,993,679.32/83,910.56
  6. Step 6: Final answer
    x = 81,419.95

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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.