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Finding the Fourth Proportional to 120,170.16, 165,809.16 and 69,842.16

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Solution

The fourth proportional to 120,170.16, 165,809.16 and 69,842.16 is: 96,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,170.16 : 165,809.16 = 69,842.16 : x
  2. Step 2: Convert to fraction form
    120,170.16/165,809.16 = 69,842.16/x
  3. Step 3: Cross multiply
    120,170.16x = 165,809.16 × 69,842.16
  4. Step 4: Simplify right side
    120,170.16x = 11,580,469,882.19
  5. Step 5: Solve for x
    x = 11,580,469,882.19/120,170.16
  6. Step 6: Final answer
    x = 96,367.27

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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.