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Finding the Fourth Proportional to 74,684.50, 103,064.93 and 41,149.78

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Solution

The fourth proportional to 74,684.50, 103,064.93 and 41,149.78 is: 56,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,684.50 : 103,064.93 = 41,149.78 : x
  2. Step 2: Convert to fraction form
    74,684.50/103,064.93 = 41,149.78/x
  3. Step 3: Cross multiply
    74,684.50x = 103,064.93 × 41,149.78
  4. Step 4: Simplify right side
    74,684.50x = 4,241,099,195.22
  5. Step 5: Solve for x
    x = 4,241,099,195.22/74,684.50
  6. Step 6: Final answer
    x = 56,786.87

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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.