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Finding the Fourth Proportional to 120,306.36, 165,982.11 and 69,317.78

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Solution

The fourth proportional to 120,306.36, 165,982.11 and 69,317.78 is: 95,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,306.36 : 165,982.11 = 69,317.78 : x
  2. Step 2: Convert to fraction form
    120,306.36/165,982.11 = 69,317.78/x
  3. Step 3: Cross multiply
    120,306.36x = 165,982.11 × 69,317.78
  4. Step 4: Simplify right side
    120,306.36x = 11,505,510,684.98
  5. Step 5: Solve for x
    x = 11,505,510,684.98/120,306.36
  6. Step 6: Final answer
    x = 95,635.10

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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.