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Finding the Fourth Proportional to 103,543.66, 155,331.89 and 33,406.57

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Solution

The fourth proportional to 103,543.66, 155,331.89 and 33,406.57 is: 50,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,543.66 : 155,331.89 = 33,406.57 : x
  2. Step 2: Convert to fraction form
    103,543.66/155,331.89 = 33,406.57/x
  3. Step 3: Cross multiply
    103,543.66x = 155,331.89 × 33,406.57
  4. Step 4: Simplify right side
    103,543.66x = 5,189,105,351.70
  5. Step 5: Solve for x
    x = 5,189,105,351.70/103,543.66
  6. Step 6: Final answer
    x = 50,115.14

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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.