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Finding the Fourth Proportional to 109,843.62, 151,662.27 and 86,839.08

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Solution

The fourth proportional to 109,843.62, 151,662.27 and 86,839.08 is: 119,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,843.62 : 151,662.27 = 86,839.08 : x
  2. Step 2: Convert to fraction form
    109,843.62/151,662.27 = 86,839.08/x
  3. Step 3: Cross multiply
    109,843.62x = 151,662.27 × 86,839.08
  4. Step 4: Simplify right side
    109,843.62x = 13,170,211,997.51
  5. Step 5: Solve for x
    x = 13,170,211,997.51/109,843.62
  6. Step 6: Final answer
    x = 119,899.65

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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.