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Finding the Fourth Proportional to 54,781.60, 82,258.80 and 31,453.60

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Solution

The fourth proportional to 54,781.60, 82,258.80 and 31,453.60 is: 47,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,781.60 : 82,258.80 = 31,453.60 : x
  2. Step 2: Convert to fraction form
    54,781.60/82,258.80 = 31,453.60/x
  3. Step 3: Cross multiply
    54,781.60x = 82,258.80 × 31,453.60
  4. Step 4: Simplify right side
    54,781.60x = 2,587,335,391.68
  5. Step 5: Solve for x
    x = 2,587,335,391.68/54,781.60
  6. Step 6: Final answer
    x = 47,230.01

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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.