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Finding the Fourth Proportional to 225,332, 311,027.46 and 129,902.48

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Solution

The fourth proportional to 225,332, 311,027.46 and 129,902.48 is: 179,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,332 : 311,027.46 = 129,902.48 : x
  2. Step 2: Convert to fraction form
    225,332/311,027.46 = 129,902.48/x
  3. Step 3: Cross multiply
    225,332x = 311,027.46 × 129,902.48
  4. Step 4: Simplify right side
    225,332x = 40,403,238,402.10
  5. Step 5: Solve for x
    x = 40,403,238,402.10/225,332
  6. Step 6: Final answer
    x = 179,305.37

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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.