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Finding the Fourth Proportional to 120,221.84, 165,918.54 and 69,236.24

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Solution

The fourth proportional to 120,221.84, 165,918.54 and 69,236.24 is: 95,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,221.84 : 165,918.54 = 69,236.24 : x
  2. Step 2: Convert to fraction form
    120,221.84/165,918.54 = 69,236.24/x
  3. Step 3: Cross multiply
    120,221.84x = 165,918.54 × 69,236.24
  4. Step 4: Simplify right side
    120,221.84x = 11,487,575,855.89
  5. Step 5: Solve for x
    x = 11,487,575,855.89/120,221.84
  6. Step 6: Final answer
    x = 95,553.15

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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.