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Finding the Fourth Proportional to 120,195, 165,875.40 and 69,215.40

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Solution

The fourth proportional to 120,195, 165,875.40 and 69,215.40 is: 95,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,195 : 165,875.40 = 69,215.40 : x
  2. Step 2: Convert to fraction form
    120,195/165,875.40 = 69,215.40/x
  3. Step 3: Cross multiply
    120,195x = 165,875.40 × 69,215.40
  4. Step 4: Simplify right side
    120,195x = 11,481,132,161.16
  5. Step 5: Solve for x
    x = 11,481,132,161.16/120,195
  6. Step 6: Final answer
    x = 95,520.88

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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.