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Finding the Fourth Proportional to 225,720.82, 311,498.22 and 123,756.04

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Solution

The fourth proportional to 225,720.82, 311,498.22 and 123,756.04 is: 170,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,720.82 : 311,498.22 = 123,756.04 : x
  2. Step 2: Convert to fraction form
    225,720.82/311,498.22 = 123,756.04/x
  3. Step 3: Cross multiply
    225,720.82x = 311,498.22 × 123,756.04
  4. Step 4: Simplify right side
    225,720.82x = 38,549,786,174.25
  5. Step 5: Solve for x
    x = 38,549,786,174.25/225,720.82
  6. Step 6: Final answer
    x = 170,785.25

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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.