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Finding the Fourth Proportional to 147,049.60, 220,665.60 and 76,979.20

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Solution

The fourth proportional to 147,049.60, 220,665.60 and 76,979.20 is: 115,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,049.60 : 220,665.60 = 76,979.20 : x
  2. Step 2: Convert to fraction form
    147,049.60/220,665.60 = 76,979.20/x
  3. Step 3: Cross multiply
    147,049.60x = 220,665.60 × 76,979.20
  4. Step 4: Simplify right side
    147,049.60x = 16,986,661,355.52
  5. Step 5: Solve for x
    x = 16,986,661,355.52/147,049.60
  6. Step 6: Final answer
    x = 115,516.54

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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.