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Finding the Fourth Proportional to 201,354.39, 302,010.81 and 68,231.20

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Solution

The fourth proportional to 201,354.39, 302,010.81 and 68,231.20 is: 102,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,354.39 : 302,010.81 = 68,231.20 : x
  2. Step 2: Convert to fraction form
    201,354.39/302,010.81 = 68,231.20/x
  3. Step 3: Cross multiply
    201,354.39x = 302,010.81 × 68,231.20
  4. Step 4: Simplify right side
    201,354.39x = 20,606,559,979.27
  5. Step 5: Solve for x
    x = 20,606,559,979.27/201,354.39
  6. Step 6: Final answer
    x = 102,339.76

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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.