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Finding the Fourth Proportional to 218,710.82, 301,819.56 and 123,248.18

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Solution

The fourth proportional to 218,710.82, 301,819.56 and 123,248.18 is: 170,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,710.82 : 301,819.56 = 123,248.18 : x
  2. Step 2: Convert to fraction form
    218,710.82/301,819.56 = 123,248.18/x
  3. Step 3: Cross multiply
    218,710.82x = 301,819.56 × 123,248.18
  4. Step 4: Simplify right side
    218,710.82x = 37,198,711,458.40
  5. Step 5: Solve for x
    x = 37,198,711,458.40/218,710.82
  6. Step 6: Final answer
    x = 170,081.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.