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Finding the Fourth Proportional to 120,119.92, 165,764.54 and 69,142.66

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Solution

The fourth proportional to 120,119.92, 165,764.54 and 69,142.66 is: 95,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,119.92 : 165,764.54 = 69,142.66 : x
  2. Step 2: Convert to fraction form
    120,119.92/165,764.54 = 69,142.66/x
  3. Step 3: Cross multiply
    120,119.92x = 165,764.54 × 69,142.66
  4. Step 4: Simplify right side
    120,119.92x = 11,461,401,229.28
  5. Step 5: Solve for x
    x = 11,461,401,229.28/120,119.92
  6. Step 6: Final answer
    x = 95,416.32

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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.