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Finding the Fourth Proportional to 225,162, 310,724.78 and 123,188.67

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Solution

The fourth proportional to 225,162, 310,724.78 and 123,188.67 is: 170,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,162 : 310,724.78 = 123,188.67 : x
  2. Step 2: Convert to fraction form
    225,162/310,724.78 = 123,188.67/x
  3. Step 3: Cross multiply
    225,162x = 310,724.78 × 123,188.67
  4. Step 4: Simplify right side
    225,162x = 38,277,771,768.30
  5. Step 5: Solve for x
    x = 38,277,771,768.30/225,162
  6. Step 6: Final answer
    x = 170,001.03

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1.5x scale

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.