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Finding the Fourth Proportional to 159,781.92, 220,509.12 and 91,820.64

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Solution

The fourth proportional to 159,781.92, 220,509.12 and 91,820.64 is: 126,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,781.92 : 220,509.12 = 91,820.64 : x
  2. Step 2: Convert to fraction form
    159,781.92/220,509.12 = 91,820.64/x
  3. Step 3: Cross multiply
    159,781.92x = 220,509.12 × 91,820.64
  4. Step 4: Simplify right side
    159,781.92x = 20,247,288,524.24
  5. Step 5: Solve for x
    x = 20,247,288,524.24/159,781.92
  6. Step 6: Final answer
    x = 126,718.27

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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.