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Finding the Fourth Proportional to 225,767.91, 311,560.16 and 125,165.91

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Solution

The fourth proportional to 225,767.91, 311,560.16 and 125,165.91 is: 172,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,767.91 : 311,560.16 = 125,165.91 : x
  2. Step 2: Convert to fraction form
    225,767.91/311,560.16 = 125,165.91/x
  3. Step 3: Cross multiply
    225,767.91x = 311,560.16 × 125,165.91
  4. Step 4: Simplify right side
    225,767.91x = 38,996,710,320.32
  5. Step 5: Solve for x
    x = 38,996,710,320.32/225,767.91
  6. Step 6: Final answer
    x = 172,729.20

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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.