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Finding the Fourth Proportional to 120,199.12, 165,914.22 and 84,398.08

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Solution

The fourth proportional to 120,199.12, 165,914.22 and 84,398.08 is: 116,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,199.12 : 165,914.22 = 84,398.08 : x
  2. Step 2: Convert to fraction form
    120,199.12/165,914.22 = 84,398.08/x
  3. Step 3: Cross multiply
    120,199.12x = 165,914.22 × 84,398.08
  4. Step 4: Simplify right side
    120,199.12x = 14,002,841,612.70
  5. Step 5: Solve for x
    x = 14,002,841,612.70/120,199.12
  6. Step 6: Final answer
    x = 116,497.04

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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.