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Finding the Fourth Proportional to 120,050.39, 165,662.44 and 65,591.78

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Solution

The fourth proportional to 120,050.39, 165,662.44 and 65,591.78 is: 90,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,050.39 : 165,662.44 = 65,591.78 : x
  2. Step 2: Convert to fraction form
    120,050.39/165,662.44 = 65,591.78/x
  3. Step 3: Cross multiply
    120,050.39x = 165,662.44 × 65,591.78
  4. Step 4: Simplify right side
    120,050.39x = 10,866,093,510.93
  5. Step 5: Solve for x
    x = 10,866,093,510.93/120,050.39
  6. Step 6: Final answer
    x = 90,512.77

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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.