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Finding the Fourth Proportional to 135,939, 203,908.50 and 37,443

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Solution

The fourth proportional to 135,939, 203,908.50 and 37,443 is: 56,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,939 : 203,908.50 = 37,443 : x
  2. Step 2: Convert to fraction form
    135,939/203,908.50 = 37,443/x
  3. Step 3: Cross multiply
    135,939x = 203,908.50 × 37,443
  4. Step 4: Simplify right side
    135,939x = 7,634,945,965.50
  5. Step 5: Solve for x
    x = 7,634,945,965.50/135,939
  6. Step 6: Final answer
    x = 56,164.50

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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.