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Finding the Fourth Proportional to 225,138.75, 310,693.92 and 123,162.01

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Solution

The fourth proportional to 225,138.75, 310,693.92 and 123,162.01 is: 169,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,138.75 : 310,693.92 = 123,162.01 : x
  2. Step 2: Convert to fraction form
    225,138.75/310,693.92 = 123,162.01/x
  3. Step 3: Cross multiply
    225,138.75x = 310,693.92 × 123,162.01
  4. Step 4: Simplify right side
    225,138.75x = 38,265,687,681.98
  5. Step 5: Solve for x
    x = 38,265,687,681.98/225,138.75
  6. Step 6: Final answer
    x = 169,964.91

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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.