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Finding the Fourth Proportional to 226,020, 311,917.32 and 125,418

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Solution

The fourth proportional to 226,020, 311,917.32 and 125,418 is: 173,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,020 : 311,917.32 = 125,418 : x
  2. Step 2: Convert to fraction form
    226,020/311,917.32 = 125,418/x
  3. Step 3: Cross multiply
    226,020x = 311,917.32 × 125,418
  4. Step 4: Simplify right side
    226,020x = 39,120,046,439.76
  5. Step 5: Solve for x
    x = 39,120,046,439.76/226,020
  6. Step 6: Final answer
    x = 173,082.23

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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.