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Finding the Fourth Proportional to 120,178.88, 165,859.14 and 69,193.52

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Solution

The fourth proportional to 120,178.88, 165,859.14 and 69,193.52 is: 95,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,178.88 : 165,859.14 = 69,193.52 : x
  2. Step 2: Convert to fraction form
    120,178.88/165,859.14 = 69,193.52/x
  3. Step 3: Cross multiply
    120,178.88x = 165,859.14 × 69,193.52
  4. Step 4: Simplify right side
    120,178.88x = 11,476,377,720.77
  5. Step 5: Solve for x
    x = 11,476,377,720.77/120,178.88
  6. Step 6: Final answer
    x = 95,494.13

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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.