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Finding the Fourth Proportional to 103,615.13, 155,448.21 and 33,494.45

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Solution

The fourth proportional to 103,615.13, 155,448.21 and 33,494.45 is: 50,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,615.13 : 155,448.21 = 33,494.45 : x
  2. Step 2: Convert to fraction form
    103,615.13/155,448.21 = 33,494.45/x
  3. Step 3: Cross multiply
    103,615.13x = 155,448.21 × 33,494.45
  4. Step 4: Simplify right side
    103,615.13x = 5,206,651,520.19
  5. Step 5: Solve for x
    x = 5,206,651,520.19/103,615.13
  6. Step 6: Final answer
    x = 50,249.92

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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.