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Finding the Fourth Proportional to 225,307.30, 310,923.61 and 123,332.78

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Solution

The fourth proportional to 225,307.30, 310,923.61 and 123,332.78 is: 170,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,307.30 : 310,923.61 = 123,332.78 : x
  2. Step 2: Convert to fraction form
    225,307.30/310,923.61 = 123,332.78/x
  3. Step 3: Cross multiply
    225,307.30x = 310,923.61 × 123,332.78
  4. Step 4: Simplify right side
    225,307.30x = 38,347,073,188.94
  5. Step 5: Solve for x
    x = 38,347,073,188.94/225,307.30
  6. Step 6: Final answer
    x = 170,198.99

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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.