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Finding the Fourth Proportional to 78,659.84, 117,985.92 and 29,408

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Solution

The fourth proportional to 78,659.84, 117,985.92 and 29,408 is: 44,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,659.84 : 117,985.92 = 29,408 : x
  2. Step 2: Convert to fraction form
    78,659.84/117,985.92 = 29,408/x
  3. Step 3: Cross multiply
    78,659.84x = 117,985.92 × 29,408
  4. Step 4: Simplify right side
    78,659.84x = 3,469,729,935.36
  5. Step 5: Solve for x
    x = 3,469,729,935.36/78,659.84
  6. Step 6: Final answer
    x = 44,110.56

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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.