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Finding the Fourth Proportional to 54,171.60, 81,305.40 and 31,957.20

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Solution

The fourth proportional to 54,171.60, 81,305.40 and 31,957.20 is: 47,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,171.60 : 81,305.40 = 31,957.20 : x
  2. Step 2: Convert to fraction form
    54,171.60/81,305.40 = 31,957.20/x
  3. Step 3: Cross multiply
    54,171.60x = 81,305.40 × 31,957.20
  4. Step 4: Simplify right side
    54,171.60x = 2,598,292,928.88
  5. Step 5: Solve for x
    x = 2,598,292,928.88/54,171.60
  6. Step 6: Final answer
    x = 47,964.12

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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.