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Finding the Fourth Proportional to 78,769.60, 118,168.80 and 32,027.20

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Solution

The fourth proportional to 78,769.60, 118,168.80 and 32,027.20 is: 48,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,769.60 : 118,168.80 = 32,027.20 : x
  2. Step 2: Convert to fraction form
    78,769.60/118,168.80 = 32,027.20/x
  3. Step 3: Cross multiply
    78,769.60x = 118,168.80 × 32,027.20
  4. Step 4: Simplify right side
    78,769.60x = 3,784,615,791.36
  5. Step 5: Solve for x
    x = 3,784,615,791.36/78,769.60
  6. Step 6: Final answer
    x = 48,046.65

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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.