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Finding the Fourth Proportional to 120,100.92, 165,716.46 and 75,368.76

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Solution

The fourth proportional to 120,100.92, 165,716.46 and 75,368.76 is: 103,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,100.92 : 165,716.46 = 75,368.76 : x
  2. Step 2: Convert to fraction form
    120,100.92/165,716.46 = 75,368.76/x
  3. Step 3: Cross multiply
    120,100.92x = 165,716.46 × 75,368.76
  4. Step 4: Simplify right side
    120,100.92x = 12,489,844,101.79
  5. Step 5: Solve for x
    x = 12,489,844,101.79/120,100.92
  6. Step 6: Final answer
    x = 103,994.57

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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.