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Finding the Fourth Proportional to 78,594.60, 117,940.50 and 31,847.88

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Solution

The fourth proportional to 78,594.60, 117,940.50 and 31,847.88 is: 47,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,594.60 : 117,940.50 = 31,847.88 : x
  2. Step 2: Convert to fraction form
    78,594.60/117,940.50 = 31,847.88/x
  3. Step 3: Cross multiply
    78,594.60x = 117,940.50 × 31,847.88
  4. Step 4: Simplify right side
    78,594.60x = 3,756,154,891.14
  5. Step 5: Solve for x
    x = 3,756,154,891.14/78,594.60
  6. Step 6: Final answer
    x = 47,791.51

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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.