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Finding the Fourth Proportional to 225,368.86, 310,997.19 and 123,374.78

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Solution

The fourth proportional to 225,368.86, 310,997.19 and 123,374.78 is: 170,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,368.86 : 310,997.19 = 123,374.78 : x
  2. Step 2: Convert to fraction form
    225,368.86/310,997.19 = 123,374.78/x
  3. Step 3: Cross multiply
    225,368.86x = 310,997.19 × 123,374.78
  4. Step 4: Simplify right side
    225,368.86x = 38,369,207,725.01
  5. Step 5: Solve for x
    x = 38,369,207,725.01/225,368.86
  6. Step 6: Final answer
    x = 170,250.71

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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.