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Finding the Fourth Proportional to 225,885.16, 311,728.26 and 125,281

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Solution

The fourth proportional to 225,885.16, 311,728.26 and 125,281 is: 172,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,885.16 : 311,728.26 = 125,281 : x
  2. Step 2: Convert to fraction form
    225,885.16/311,728.26 = 125,281/x
  3. Step 3: Cross multiply
    225,885.16x = 311,728.26 × 125,281
  4. Step 4: Simplify right side
    225,885.16x = 39,053,628,141.06
  5. Step 5: Solve for x
    x = 39,053,628,141.06/225,885.16
  6. Step 6: Final answer
    x = 172,891.52

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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.