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Finding the Fourth Proportional to 225,983.40, 311,857.02 and 125,381.40

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Solution

The fourth proportional to 225,983.40, 311,857.02 and 125,381.40 is: 173,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,983.40 : 311,857.02 = 125,381.40 : x
  2. Step 2: Convert to fraction form
    225,983.40/311,857.02 = 125,381.40/x
  3. Step 3: Cross multiply
    225,983.40x = 311,857.02 × 125,381.40
  4. Step 4: Simplify right side
    225,983.40x = 39,101,069,767.43
  5. Step 5: Solve for x
    x = 39,101,069,767.43/225,983.40
  6. Step 6: Final answer
    x = 173,026.29

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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.