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Finding the Fourth Proportional to 165,221.60, 247,693.08 and 71,656.88

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Solution

The fourth proportional to 165,221.60, 247,693.08 and 71,656.88 is: 107,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,221.60 : 247,693.08 = 71,656.88 : x
  2. Step 2: Convert to fraction form
    165,221.60/247,693.08 = 71,656.88/x
  3. Step 3: Cross multiply
    165,221.60x = 247,693.08 × 71,656.88
  4. Step 4: Simplify right side
    165,221.60x = 17,748,913,310.39
  5. Step 5: Solve for x
    x = 17,748,913,310.39/165,221.60
  6. Step 6: Final answer
    x = 107,424.90

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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.