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Finding the Fourth Proportional to 41,189.52, 61,747.74 and 20,118

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Solution

The fourth proportional to 41,189.52, 61,747.74 and 20,118 is: 30,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,189.52 : 61,747.74 = 20,118 : x
  2. Step 2: Convert to fraction form
    41,189.52/61,747.74 = 20,118/x
  3. Step 3: Cross multiply
    41,189.52x = 61,747.74 × 20,118
  4. Step 4: Simplify right side
    41,189.52x = 1,242,241,033.32
  5. Step 5: Solve for x
    x = 1,242,241,033.32/41,189.52
  6. Step 6: Final answer
    x = 30,159.15

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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.