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Finding the Fourth Proportional to 109,559.22, 163,906.47 and 82,981.80

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Solution

The fourth proportional to 109,559.22, 163,906.47 and 82,981.80 is: 124,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,559.22 : 163,906.47 = 82,981.80 : x
  2. Step 2: Convert to fraction form
    109,559.22/163,906.47 = 82,981.80/x
  3. Step 3: Cross multiply
    109,559.22x = 163,906.47 × 82,981.80
  4. Step 4: Simplify right side
    109,559.22x = 13,601,253,912.25
  5. Step 5: Solve for x
    x = 13,601,253,912.25/109,559.22
  6. Step 6: Final answer
    x = 124,145.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.