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Finding the Fourth Proportional to 78,660, 118,013.04 and 23,257.44

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Solution

The fourth proportional to 78,660, 118,013.04 and 23,257.44 is: 34,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,660 : 118,013.04 = 23,257.44 : x
  2. Step 2: Convert to fraction form
    78,660/118,013.04 = 23,257.44/x
  3. Step 3: Cross multiply
    78,660x = 118,013.04 × 23,257.44
  4. Step 4: Simplify right side
    78,660x = 2,744,681,197.02
  5. Step 5: Solve for x
    x = 2,744,681,197.02/78,660
  6. Step 6: Final answer
    x = 34,892.97

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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.