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Finding the Fourth Proportional to 215,091.72, 322,680.65 and 120,456.45

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Solution

The fourth proportional to 215,091.72, 322,680.65 and 120,456.45 is: 180,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,091.72 : 322,680.65 = 120,456.45 : x
  2. Step 2: Convert to fraction form
    215,091.72/322,680.65 = 120,456.45/x
  3. Step 3: Cross multiply
    215,091.72x = 322,680.65 × 120,456.45
  4. Step 4: Simplify right side
    215,091.72x = 38,868,964,980.41
  5. Step 5: Solve for x
    x = 38,868,964,980.41/215,091.72
  6. Step 6: Final answer
    x = 180,708.79

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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.