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Finding the Fourth Proportional to 158,578.16, 218,847.62 and 86,968.49

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Solution

The fourth proportional to 158,578.16, 218,847.62 and 86,968.49 is: 120,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,578.16 : 218,847.62 = 86,968.49 : x
  2. Step 2: Convert to fraction form
    158,578.16/218,847.62 = 86,968.49/x
  3. Step 3: Cross multiply
    158,578.16x = 218,847.62 × 86,968.49
  4. Step 4: Simplify right side
    158,578.16x = 19,032,846,174.68
  5. Step 5: Solve for x
    x = 19,032,846,174.68/158,578.16
  6. Step 6: Final answer
    x = 120,021.87

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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.