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Finding the Fourth Proportional to 225,892.16, 311,737.92 and 125,288

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Solution

The fourth proportional to 225,892.16, 311,737.92 and 125,288 is: 172,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,892.16 : 311,737.92 = 125,288 : x
  2. Step 2: Convert to fraction form
    225,892.16/311,737.92 = 125,288/x
  3. Step 3: Cross multiply
    225,892.16x = 311,737.92 × 125,288
  4. Step 4: Simplify right side
    225,892.16x = 39,057,020,520.96
  5. Step 5: Solve for x
    x = 39,057,020,520.96/225,892.16
  6. Step 6: Final answer
    x = 172,901.18

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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.