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Finding the Fourth Proportional to 225,492.29, 311,167.31 and 123,512.48

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Solution

The fourth proportional to 225,492.29, 311,167.31 and 123,512.48 is: 170,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,492.29 : 311,167.31 = 123,512.48 : x
  2. Step 2: Convert to fraction form
    225,492.29/311,167.31 = 123,512.48/x
  3. Step 3: Cross multiply
    225,492.29x = 311,167.31 × 123,512.48
  4. Step 4: Simplify right side
    225,492.29x = 38,433,043,979.63
  5. Step 5: Solve for x
    x = 38,433,043,979.63/225,492.29
  6. Step 6: Final answer
    x = 170,440.62

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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.