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Finding the Fourth Proportional to 120,794.88, 181,145.72 and 45,875.54

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Solution

The fourth proportional to 120,794.88, 181,145.72 and 45,875.54 is: 68,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,794.88 : 181,145.72 = 45,875.54 : x
  2. Step 2: Convert to fraction form
    120,794.88/181,145.72 = 45,875.54/x
  3. Step 3: Cross multiply
    120,794.88x = 181,145.72 × 45,875.54
  4. Step 4: Simplify right side
    120,794.88x = 8,310,157,723.69
  5. Step 5: Solve for x
    x = 8,310,157,723.69/120,794.88
  6. Step 6: Final answer
    x = 68,795.61

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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.