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Finding the Fourth Proportional to 78,638.80, 117,891.84 and 31,924.48

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Solution

The fourth proportional to 78,638.80, 117,891.84 and 31,924.48 is: 47,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,638.80 : 117,891.84 = 31,924.48 : x
  2. Step 2: Convert to fraction form
    78,638.80/117,891.84 = 31,924.48/x
  3. Step 3: Cross multiply
    78,638.80x = 117,891.84 × 31,924.48
  4. Step 4: Simplify right side
    78,638.80x = 3,763,635,688.24
  5. Step 5: Solve for x
    x = 3,763,635,688.24/78,638.80
  6. Step 6: Final answer
    x = 47,859.78

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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.