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Finding the Fourth Proportional to 218,617.60, 301,689.28 and 123,133.76

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Solution

The fourth proportional to 218,617.60, 301,689.28 and 123,133.76 is: 169,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,617.60 : 301,689.28 = 123,133.76 : x
  2. Step 2: Convert to fraction form
    218,617.60/301,689.28 = 123,133.76/x
  3. Step 3: Cross multiply
    218,617.60x = 301,689.28 × 123,133.76
  4. Step 4: Simplify right side
    218,617.60x = 37,148,135,398.09
  5. Step 5: Solve for x
    x = 37,148,135,398.09/218,617.60
  6. Step 6: Final answer
    x = 169,922.89

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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.