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Finding the Fourth Proportional to 45,447.83, 68,174.85 and 15,449.86

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Solution

The fourth proportional to 45,447.83, 68,174.85 and 15,449.86 is: 23,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,447.83 : 68,174.85 = 15,449.86 : x
  2. Step 2: Convert to fraction form
    45,447.83/68,174.85 = 15,449.86/x
  3. Step 3: Cross multiply
    45,447.83x = 68,174.85 × 15,449.86
  4. Step 4: Simplify right side
    45,447.83x = 1,053,291,625.97
  5. Step 5: Solve for x
    x = 1,053,291,625.97/45,447.83
  6. Step 6: Final answer
    x = 23,175.84

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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.