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Finding the Fourth Proportional to 78,144.75, 117,175.82 and 35,988.03

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Solution

The fourth proportional to 78,144.75, 117,175.82 and 35,988.03 is: 53,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,144.75 : 117,175.82 = 35,988.03 : x
  2. Step 2: Convert to fraction form
    78,144.75/117,175.82 = 35,988.03/x
  3. Step 3: Cross multiply
    78,144.75x = 117,175.82 × 35,988.03
  4. Step 4: Simplify right side
    78,144.75x = 4,216,926,745.49
  5. Step 5: Solve for x
    x = 4,216,926,745.49/78,144.75
  6. Step 6: Final answer
    x = 53,963.02

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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.