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Finding the Fourth Proportional to 225,163, 310,726.16 and 123,189.67

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Solution

The fourth proportional to 225,163, 310,726.16 and 123,189.67 is: 170,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,163 : 310,726.16 = 123,189.67 : x
  2. Step 2: Convert to fraction form
    225,163/310,726.16 = 123,189.67/x
  3. Step 3: Cross multiply
    225,163x = 310,726.16 × 123,189.67
  4. Step 4: Simplify right side
    225,163x = 38,278,253,110.77
  5. Step 5: Solve for x
    x = 38,278,253,110.77/225,163
  6. Step 6: Final answer
    x = 170,002.41

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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.