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Finding the Fourth Proportional to 144,231.20, 216,346.80 and 82,023.20

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Solution

The fourth proportional to 144,231.20, 216,346.80 and 82,023.20 is: 123,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,231.20 : 216,346.80 = 82,023.20 : x
  2. Step 2: Convert to fraction form
    144,231.20/216,346.80 = 82,023.20/x
  3. Step 3: Cross multiply
    144,231.20x = 216,346.80 × 82,023.20
  4. Step 4: Simplify right side
    144,231.20x = 17,745,456,845.76
  5. Step 5: Solve for x
    x = 17,745,456,845.76/144,231.20
  6. Step 6: Final answer
    x = 123,034.80

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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.