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Finding the Fourth Proportional to 158,107.25, 218,185.13 and 86,486.64

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Solution

The fourth proportional to 158,107.25, 218,185.13 and 86,486.64 is: 119,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,107.25 : 218,185.13 = 86,486.64 : x
  2. Step 2: Convert to fraction form
    158,107.25/218,185.13 = 86,486.64/x
  3. Step 3: Cross multiply
    158,107.25x = 218,185.13 × 86,486.64
  4. Step 4: Simplify right side
    158,107.25x = 18,870,098,791.66
  5. Step 5: Solve for x
    x = 18,870,098,791.66/158,107.25
  6. Step 6: Final answer
    x = 119,349.99

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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.