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Finding the Fourth Proportional to 57,877.60, 86,845.20 and 22,818.40

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Solution

The fourth proportional to 57,877.60, 86,845.20 and 22,818.40 is: 34,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877.60 : 86,845.20 = 22,818.40 : x
  2. Step 2: Convert to fraction form
    57,877.60/86,845.20 = 22,818.40/x
  3. Step 3: Cross multiply
    57,877.60x = 86,845.20 × 22,818.40
  4. Step 4: Simplify right side
    57,877.60x = 1,981,668,511.68
  5. Step 5: Solve for x
    x = 1,981,668,511.68/57,877.60
  6. Step 6: Final answer
    x = 34,238.95

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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.