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Finding the Fourth Proportional to 84,166.10, 125,921.10 and 54,641.60

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Solution

The fourth proportional to 84,166.10, 125,921.10 and 54,641.60 is: 81,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,166.10 : 125,921.10 = 54,641.60 : x
  2. Step 2: Convert to fraction form
    84,166.10/125,921.10 = 54,641.60/x
  3. Step 3: Cross multiply
    84,166.10x = 125,921.10 × 54,641.60
  4. Step 4: Simplify right side
    84,166.10x = 6,880,530,377.76
  5. Step 5: Solve for x
    x = 6,880,530,377.76/84,166.10
  6. Step 6: Final answer
    x = 81,749.43

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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.