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Finding the Fourth Proportional to 78,486.76, 117,729.96 and 31,772.44

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Solution

The fourth proportional to 78,486.76, 117,729.96 and 31,772.44 is: 47,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,486.76 : 117,729.96 = 31,772.44 : x
  2. Step 2: Convert to fraction form
    78,486.76/117,729.96 = 31,772.44/x
  3. Step 3: Cross multiply
    78,486.76x = 117,729.96 × 31,772.44
  4. Step 4: Simplify right side
    78,486.76x = 3,740,568,090.30
  5. Step 5: Solve for x
    x = 3,740,568,090.30/78,486.76
  6. Step 6: Final answer
    x = 47,658.59

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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.