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Finding the Fourth Proportional to 78,676.11, 117,952.20 and 39,212.91

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Solution

The fourth proportional to 78,676.11, 117,952.20 and 39,212.91 is: 58,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.11 : 117,952.20 = 39,212.91 : x
  2. Step 2: Convert to fraction form
    78,676.11/117,952.20 = 39,212.91/x
  3. Step 3: Cross multiply
    78,676.11x = 117,952.20 × 39,212.91
  4. Step 4: Simplify right side
    78,676.11x = 4,625,249,002.90
  5. Step 5: Solve for x
    x = 4,625,249,002.90/78,676.11
  6. Step 6: Final answer
    x = 58,788.48

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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.