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Finding the Fourth Proportional to 146,991.81, 220,416.39 and 86,218.68

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Solution

The fourth proportional to 146,991.81, 220,416.39 and 86,218.68 is: 129,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,991.81 : 220,416.39 = 86,218.68 : x
  2. Step 2: Convert to fraction form
    146,991.81/220,416.39 = 86,218.68/x
  3. Step 3: Cross multiply
    146,991.81x = 220,416.39 × 86,218.68
  4. Step 4: Simplify right side
    146,991.81x = 19,004,010,196.17
  5. Step 5: Solve for x
    x = 19,004,010,196.17/146,991.81
  6. Step 6: Final answer
    x = 129,286.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.