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Finding the Fourth Proportional to 225,724.68, 311,498.10 and 123,756.48

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Solution

The fourth proportional to 225,724.68, 311,498.10 and 123,756.48 is: 170,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,724.68 : 311,498.10 = 123,756.48 : x
  2. Step 2: Convert to fraction form
    225,724.68/311,498.10 = 123,756.48/x
  3. Step 3: Cross multiply
    225,724.68x = 311,498.10 × 123,756.48
  4. Step 4: Simplify right side
    225,724.68x = 38,549,908,382.69
  5. Step 5: Solve for x
    x = 38,549,908,382.69/225,724.68
  6. Step 6: Final answer
    x = 170,782.87

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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.