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Finding the Fourth Proportional to 225,399, 311,050.62 and 124,797

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Solution

The fourth proportional to 225,399, 311,050.62 and 124,797 is: 172,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,399 : 311,050.62 = 124,797 : x
  2. Step 2: Convert to fraction form
    225,399/311,050.62 = 124,797/x
  3. Step 3: Cross multiply
    225,399x = 311,050.62 × 124,797
  4. Step 4: Simplify right side
    225,399x = 38,818,184,224.14
  5. Step 5: Solve for x
    x = 38,818,184,224.14/225,399
  6. Step 6: Final answer
    x = 172,219.86

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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.