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Finding the Fourth Proportional to 54,101.60, 81,152.40 and 34,272.80

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Solution

The fourth proportional to 54,101.60, 81,152.40 and 34,272.80 is: 51,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,101.60 : 81,152.40 = 34,272.80 : x
  2. Step 2: Convert to fraction form
    54,101.60/81,152.40 = 34,272.80/x
  3. Step 3: Cross multiply
    54,101.60x = 81,152.40 × 34,272.80
  4. Step 4: Simplify right side
    54,101.60x = 2,781,319,974.72
  5. Step 5: Solve for x
    x = 2,781,319,974.72/54,101.60
  6. Step 6: Final answer
    x = 51,409.20

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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.