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Finding the Fourth Proportional to 78,627.60, 117,990 and 31,880.88

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Solution

The fourth proportional to 78,627.60, 117,990 and 31,880.88 is: 47,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,627.60 : 117,990 = 31,880.88 : x
  2. Step 2: Convert to fraction form
    78,627.60/117,990 = 31,880.88/x
  3. Step 3: Cross multiply
    78,627.60x = 117,990 × 31,880.88
  4. Step 4: Simplify right side
    78,627.60x = 3,761,625,031.20
  5. Step 5: Solve for x
    x = 3,761,625,031.20/78,627.60
  6. Step 6: Final answer
    x = 47,841.03

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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.