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Finding the Fourth Proportional to 83,853.10, 125,451.60 and 54,328.60

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Solution

The fourth proportional to 83,853.10, 125,451.60 and 54,328.60 is: 81,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,853.10 : 125,451.60 = 54,328.60 : x
  2. Step 2: Convert to fraction form
    83,853.10/125,451.60 = 54,328.60/x
  3. Step 3: Cross multiply
    83,853.10x = 125,451.60 × 54,328.60
  4. Step 4: Simplify right side
    83,853.10x = 6,815,609,795.76
  5. Step 5: Solve for x
    x = 6,815,609,795.76/83,853.10
  6. Step 6: Final answer
    x = 81,280.36

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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.