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Finding the Fourth Proportional to 225,710.94, 311,491.20 and 128,923.20

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Solution

The fourth proportional to 225,710.94, 311,491.20 and 128,923.20 is: 177,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,710.94 : 311,491.20 = 128,923.20 : x
  2. Step 2: Convert to fraction form
    225,710.94/311,491.20 = 128,923.20/x
  3. Step 3: Cross multiply
    225,710.94x = 311,491.20 × 128,923.20
  4. Step 4: Simplify right side
    225,710.94x = 40,158,442,275.84
  5. Step 5: Solve for x
    x = 40,158,442,275.84/225,710.94
  6. Step 6: Final answer
    x = 177,919.79

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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.