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Finding the Fourth Proportional to 217,012.62, 299,469.16 and 121,514.53

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Solution

The fourth proportional to 217,012.62, 299,469.16 and 121,514.53 is: 167,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,012.62 : 299,469.16 = 121,514.53 : x
  2. Step 2: Convert to fraction form
    217,012.62/299,469.16 = 121,514.53/x
  3. Step 3: Cross multiply
    217,012.62x = 299,469.16 × 121,514.53
  4. Step 4: Simplify right side
    217,012.62x = 36,389,854,226.89
  5. Step 5: Solve for x
    x = 36,389,854,226.89/217,012.62
  6. Step 6: Final answer
    x = 167,685.43

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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.