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Finding the Fourth Proportional to 121,530.80, 182,641.80 and 106,324.40

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Solution

The fourth proportional to 121,530.80, 182,641.80 and 106,324.40 is: 159,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,530.80 : 182,641.80 = 106,324.40 : x
  2. Step 2: Convert to fraction form
    121,530.80/182,641.80 = 106,324.40/x
  3. Step 3: Cross multiply
    121,530.80x = 182,641.80 × 106,324.40
  4. Step 4: Simplify right side
    121,530.80x = 19,419,279,799.92
  5. Step 5: Solve for x
    x = 19,419,279,799.92/121,530.80
  6. Step 6: Final answer
    x = 159,788.96

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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.