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Finding the Fourth Proportional to 201,424.80, 302,370.60 and 108,112.80

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Solution

The fourth proportional to 201,424.80, 302,370.60 and 108,112.80 is: 162,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,424.80 : 302,370.60 = 108,112.80 : x
  2. Step 2: Convert to fraction form
    201,424.80/302,370.60 = 108,112.80/x
  3. Step 3: Cross multiply
    201,424.80x = 302,370.60 × 108,112.80
  4. Step 4: Simplify right side
    201,424.80x = 32,690,132,203.68
  5. Step 5: Solve for x
    x = 32,690,132,203.68/201,424.80
  6. Step 6: Final answer
    x = 162,294.48

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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.