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Finding the Fourth Proportional to 209,224.20, 288,726.89 and 113,728.85

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Solution

The fourth proportional to 209,224.20, 288,726.89 and 113,728.85 is: 156,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,224.20 : 288,726.89 = 113,728.85 : x
  2. Step 2: Convert to fraction form
    209,224.20/288,726.89 = 113,728.85/x
  3. Step 3: Cross multiply
    209,224.20x = 288,726.89 × 113,728.85
  4. Step 4: Simplify right side
    209,224.20x = 32,836,577,163.78
  5. Step 5: Solve for x
    x = 32,836,577,163.78/209,224.20
  6. Step 6: Final answer
    x = 156,944.45

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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.