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Finding the Fourth Proportional to 217,141.38, 299,654.10 and 121,648.86

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Solution

The fourth proportional to 217,141.38, 299,654.10 and 121,648.86 is: 167,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,141.38 : 299,654.10 = 121,648.86 : x
  2. Step 2: Convert to fraction form
    217,141.38/299,654.10 = 121,648.86/x
  3. Step 3: Cross multiply
    217,141.38x = 299,654.10 × 121,648.86
  4. Step 4: Simplify right side
    217,141.38x = 36,452,579,659.33
  5. Step 5: Solve for x
    x = 36,452,579,659.33/217,141.38
  6. Step 6: Final answer
    x = 167,874.86

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1.5x scale

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.