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Finding the Fourth Proportional to 202,585.36, 279,747.12 and 126,234.76

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Solution

The fourth proportional to 202,585.36, 279,747.12 and 126,234.76 is: 174,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,585.36 : 279,747.12 = 126,234.76 : x
  2. Step 2: Convert to fraction form
    202,585.36/279,747.12 = 126,234.76/x
  3. Step 3: Cross multiply
    202,585.36x = 279,747.12 × 126,234.76
  4. Step 4: Simplify right side
    202,585.36x = 35,313,810,553.89
  5. Step 5: Solve for x
    x = 35,313,810,553.89/202,585.36
  6. Step 6: Final answer
    x = 174,315.71

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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.