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Finding the Fourth Proportional to 225,215, 310,800.64 and 123,249.50

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Solution

The fourth proportional to 225,215, 310,800.64 and 123,249.50 is: 170,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,215 : 310,800.64 = 123,249.50 : x
  2. Step 2: Convert to fraction form
    225,215/310,800.64 = 123,249.50/x
  3. Step 3: Cross multiply
    225,215x = 310,800.64 × 123,249.50
  4. Step 4: Simplify right side
    225,215x = 38,306,023,479.68
  5. Step 5: Solve for x
    x = 38,306,023,479.68/225,215
  6. Step 6: Final answer
    x = 170,086.47

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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.