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Finding the Fourth Proportional to 78,544.86, 117,869.13 and 41,634.78

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Solution

The fourth proportional to 78,544.86, 117,869.13 and 41,634.78 is: 62,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,544.86 : 117,869.13 = 41,634.78 : x
  2. Step 2: Convert to fraction form
    78,544.86/117,869.13 = 41,634.78/x
  3. Step 3: Cross multiply
    78,544.86x = 117,869.13 × 41,634.78
  4. Step 4: Simplify right side
    78,544.86x = 4,907,455,296.34
  5. Step 5: Solve for x
    x = 4,907,455,296.34/78,544.86
  6. Step 6: Final answer
    x = 62,479.65

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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.