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Finding the Fourth Proportional to 101,968.90, 140,677.81 and 75,175.11

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Solution

The fourth proportional to 101,968.90, 140,677.81 and 75,175.11 is: 103,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,968.90 : 140,677.81 = 75,175.11 : x
  2. Step 2: Convert to fraction form
    101,968.90/140,677.81 = 75,175.11/x
  3. Step 3: Cross multiply
    101,968.90x = 140,677.81 × 75,175.11
  4. Step 4: Simplify right side
    101,968.90x = 10,575,469,841.31
  5. Step 5: Solve for x
    x = 10,575,469,841.31/101,968.90
  6. Step 6: Final answer
    x = 103,712.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.