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Finding the Fourth Proportional to 120,251.58, 165,944.63 and 65,803.54

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Solution

The fourth proportional to 120,251.58, 165,944.63 and 65,803.54 is: 90,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,251.58 : 165,944.63 = 65,803.54 : x
  2. Step 2: Convert to fraction form
    120,251.58/165,944.63 = 65,803.54/x
  3. Step 3: Cross multiply
    120,251.58x = 165,944.63 × 65,803.54
  4. Step 4: Simplify right side
    120,251.58x = 10,919,743,289.73
  5. Step 5: Solve for x
    x = 10,919,743,289.73/120,251.58
  6. Step 6: Final answer
    x = 90,807.48

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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.