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Finding the Fourth Proportional to 81,947.60, 122,959.80 and 42,549.20

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Solution

The fourth proportional to 81,947.60, 122,959.80 and 42,549.20 is: 63,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,947.60 : 122,959.80 = 42,549.20 : x
  2. Step 2: Convert to fraction form
    81,947.60/122,959.80 = 42,549.20/x
  3. Step 3: Cross multiply
    81,947.60x = 122,959.80 × 42,549.20
  4. Step 4: Simplify right side
    81,947.60x = 5,231,841,122.16
  5. Step 5: Solve for x
    x = 5,231,841,122.16/81,947.60
  6. Step 6: Final answer
    x = 63,843.74

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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.