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Finding the Fourth Proportional to 80,465.78, 120,697.25 and 33,102.65

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Solution

The fourth proportional to 80,465.78, 120,697.25 and 33,102.65 is: 49,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,465.78 : 120,697.25 = 33,102.65 : x
  2. Step 2: Convert to fraction form
    80,465.78/120,697.25 = 33,102.65/x
  3. Step 3: Cross multiply
    80,465.78x = 120,697.25 × 33,102.65
  4. Step 4: Simplify right side
    80,465.78x = 3,995,398,822.71
  5. Step 5: Solve for x
    x = 3,995,398,822.71/80,465.78
  6. Step 6: Final answer
    x = 49,653.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.