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Finding the Fourth Proportional to 109,906.60, 164,859.90 and 65,000.20

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Solution

The fourth proportional to 109,906.60, 164,859.90 and 65,000.20 is: 97,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906.60 : 164,859.90 = 65,000.20 : x
  2. Step 2: Convert to fraction form
    109,906.60/164,859.90 = 65,000.20/x
  3. Step 3: Cross multiply
    109,906.60x = 164,859.90 × 65,000.20
  4. Step 4: Simplify right side
    109,906.60x = 10,715,926,471.98
  5. Step 5: Solve for x
    x = 10,715,926,471.98/109,906.60
  6. Step 6: Final answer
    x = 97,500.30

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Similar ratio
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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.