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Finding the Fourth Proportional to 206,353.45, 284,826.81 and 121,519.72

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Solution

The fourth proportional to 206,353.45, 284,826.81 and 121,519.72 is: 167,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,353.45 : 284,826.81 = 121,519.72 : x
  2. Step 2: Convert to fraction form
    206,353.45/284,826.81 = 121,519.72/x
  3. Step 3: Cross multiply
    206,353.45x = 284,826.81 × 121,519.72
  4. Step 4: Simplify right side
    206,353.45x = 34,612,074,199.69
  5. Step 5: Solve for x
    x = 34,612,074,199.69/206,353.45
  6. Step 6: Final answer
    x = 167,731.99

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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.