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Finding the Fourth Proportional to 225,369.86, 310,998.57 and 123,375.77

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Solution

The fourth proportional to 225,369.86, 310,998.57 and 123,375.77 is: 170,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,369.86 : 310,998.57 = 123,375.77 : x
  2. Step 2: Convert to fraction form
    225,369.86/310,998.57 = 123,375.77/x
  3. Step 3: Cross multiply
    225,369.86x = 310,998.57 × 123,375.77
  4. Step 4: Simplify right side
    225,369.86x = 38,369,688,357.49
  5. Step 5: Solve for x
    x = 38,369,688,357.49/225,369.86
  6. Step 6: Final answer
    x = 170,252.09

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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.