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Finding the Fourth Proportional to 159,534, 220,159.67 and 103,043.79

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Solution

The fourth proportional to 159,534, 220,159.67 and 103,043.79 is: 142,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,534 : 220,159.67 = 103,043.79 : x
  2. Step 2: Convert to fraction form
    159,534/220,159.67 = 103,043.79/x
  3. Step 3: Cross multiply
    159,534x = 220,159.67 × 103,043.79
  4. Step 4: Simplify right side
    159,534x = 22,686,086,286.73
  5. Step 5: Solve for x
    x = 22,686,086,286.73/159,534
  6. Step 6: Final answer
    x = 142,202.20

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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.