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Finding the Fourth Proportional to 146,992.81, 220,417.89 and 86,219.68

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Solution

The fourth proportional to 146,992.81, 220,417.89 and 86,219.68 is: 129,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,992.81 : 220,417.89 = 86,219.68 : x
  2. Step 2: Convert to fraction form
    146,992.81/220,417.89 = 86,219.68/x
  3. Step 3: Cross multiply
    146,992.81x = 220,417.89 × 86,219.68
  4. Step 4: Simplify right side
    146,992.81x = 19,004,359,942.08
  5. Step 5: Solve for x
    x = 19,004,359,942.08/146,992.81
  6. Step 6: Final answer
    x = 129,287.68

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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.