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Finding the Fourth Proportional to 120,190.23, 165,855.78 and 65,731.56

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Solution

The fourth proportional to 120,190.23, 165,855.78 and 65,731.56 is: 90,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,190.23 : 165,855.78 = 65,731.56 : x
  2. Step 2: Convert to fraction form
    120,190.23/165,855.78 = 65,731.56/x
  3. Step 3: Cross multiply
    120,190.23x = 165,855.78 × 65,731.56
  4. Step 4: Simplify right side
    120,190.23x = 10,901,959,154.42
  5. Step 5: Solve for x
    x = 10,901,959,154.42/120,190.23
  6. Step 6: Final answer
    x = 90,705.87

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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.