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Finding the Fourth Proportional to 202,842.27, 279,919.92 and 112,191.12

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Solution

The fourth proportional to 202,842.27, 279,919.92 and 112,191.12 is: 154,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,842.27 : 279,919.92 = 112,191.12 : x
  2. Step 2: Convert to fraction form
    202,842.27/279,919.92 = 112,191.12/x
  3. Step 3: Cross multiply
    202,842.27x = 279,919.92 × 112,191.12
  4. Step 4: Simplify right side
    202,842.27x = 31,404,529,335.11
  5. Step 5: Solve for x
    x = 31,404,529,335.11/202,842.27
  6. Step 6: Final answer
    x = 154,822.41

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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.