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Finding the Fourth Proportional to 135,382.70, 203,071.62 and 55,403.30

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Solution

The fourth proportional to 135,382.70, 203,071.62 and 55,403.30 is: 83,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,382.70 : 203,071.62 = 55,403.30 : x
  2. Step 2: Convert to fraction form
    135,382.70/203,071.62 = 55,403.30/x
  3. Step 3: Cross multiply
    135,382.70x = 203,071.62 × 55,403.30
  4. Step 4: Simplify right side
    135,382.70x = 11,250,837,884.35
  5. Step 5: Solve for x
    x = 11,250,837,884.35/135,382.70
  6. Step 6: Final answer
    x = 83,103.96

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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.