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Finding the Fourth Proportional to 206,459.32, 284,926.26 and 121,632.88

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Solution

The fourth proportional to 206,459.32, 284,926.26 and 121,632.88 is: 167,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,459.32 : 284,926.26 = 121,632.88 : x
  2. Step 2: Convert to fraction form
    206,459.32/284,926.26 = 121,632.88/x
  3. Step 3: Cross multiply
    206,459.32x = 284,926.26 × 121,632.88
  4. Step 4: Simplify right side
    206,459.32x = 34,656,401,591.43
  5. Step 5: Solve for x
    x = 34,656,401,591.43/206,459.32
  6. Step 6: Final answer
    x = 167,860.68

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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.