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Finding the Fourth Proportional to 206,663.12, 285,161.15 and 121,768.64

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Solution

The fourth proportional to 206,663.12, 285,161.15 and 121,768.64 is: 168,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,663.12 : 285,161.15 = 121,768.64 : x
  2. Step 2: Convert to fraction form
    206,663.12/285,161.15 = 121,768.64/x
  3. Step 3: Cross multiply
    206,663.12x = 285,161.15 × 121,768.64
  4. Step 4: Simplify right side
    206,663.12x = 34,723,684,807.49
  5. Step 5: Solve for x
    x = 34,723,684,807.49/206,663.12
  6. Step 6: Final answer
    x = 168,020.71

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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.