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Finding the Fourth Proportional to 225,181.65, 310,748.01 and 123,205.92

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Solution

The fourth proportional to 225,181.65, 310,748.01 and 123,205.92 is: 170,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,181.65 : 310,748.01 = 123,205.92 : x
  2. Step 2: Convert to fraction form
    225,181.65/310,748.01 = 123,205.92/x
  3. Step 3: Cross multiply
    225,181.65x = 310,748.01 × 123,205.92
  4. Step 4: Simplify right side
    225,181.65x = 38,285,994,460.22
  5. Step 5: Solve for x
    x = 38,285,994,460.22/225,181.65
  6. Step 6: Final answer
    x = 170,022.71

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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.