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Finding the Fourth Proportional to 225,369, 310,997.39 and 123,374.91

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Solution

The fourth proportional to 225,369, 310,997.39 and 123,374.91 is: 170,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,369 : 310,997.39 = 123,374.91 : x
  2. Step 2: Convert to fraction form
    225,369/310,997.39 = 123,374.91/x
  3. Step 3: Cross multiply
    225,369x = 310,997.39 × 123,374.91
  4. Step 4: Simplify right side
    225,369x = 38,369,275,001.48
  5. Step 5: Solve for x
    x = 38,369,275,001.48/225,369
  6. Step 6: Final answer
    x = 170,250.90

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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.