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Finding the Fourth Proportional to 78,438.44, 117,591.92 and 54,676.28

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Solution

The fourth proportional to 78,438.44, 117,591.92 and 54,676.28 is: 81,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,438.44 : 117,591.92 = 54,676.28 : x
  2. Step 2: Convert to fraction form
    78,438.44/117,591.92 = 54,676.28/x
  3. Step 3: Cross multiply
    78,438.44x = 117,591.92 × 54,676.28
  4. Step 4: Simplify right side
    78,438.44x = 6,429,488,743.66
  5. Step 5: Solve for x
    x = 6,429,488,743.66/78,438.44
  6. Step 6: Final answer
    x = 81,968.60

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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.