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Finding the Fourth Proportional to 123,847.65, 170,906.49 and 70,137.90

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Solution

The fourth proportional to 123,847.65, 170,906.49 and 70,137.90 is: 96,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,847.65 : 170,906.49 = 70,137.90 : x
  2. Step 2: Convert to fraction form
    123,847.65/170,906.49 = 70,137.90/x
  3. Step 3: Cross multiply
    123,847.65x = 170,906.49 × 70,137.90
  4. Step 4: Simplify right side
    123,847.65x = 11,987,022,304.97
  5. Step 5: Solve for x
    x = 11,987,022,304.97/123,847.65
  6. Step 6: Final answer
    x = 96,788.45

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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.