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Finding the Fourth Proportional to 145,221.60, 217,540.80 and 82,819.20

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Solution

The fourth proportional to 145,221.60, 217,540.80 and 82,819.20 is: 124,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,221.60 : 217,540.80 = 82,819.20 : x
  2. Step 2: Convert to fraction form
    145,221.60/217,540.80 = 82,819.20/x
  3. Step 3: Cross multiply
    145,221.60x = 217,540.80 × 82,819.20
  4. Step 4: Simplify right side
    145,221.60x = 18,016,555,023.36
  5. Step 5: Solve for x
    x = 18,016,555,023.36/145,221.60
  6. Step 6: Final answer
    x = 124,062.50

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1.5x scale

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.