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Finding the Fourth Proportional to 74,607.96, 111,876.84 and 30,200.91

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Solution

The fourth proportional to 74,607.96, 111,876.84 and 30,200.91 is: 45,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,607.96 : 111,876.84 = 30,200.91 : x
  2. Step 2: Convert to fraction form
    74,607.96/111,876.84 = 30,200.91/x
  3. Step 3: Cross multiply
    74,607.96x = 111,876.84 × 30,200.91
  4. Step 4: Simplify right side
    74,607.96x = 3,378,782,375.92
  5. Step 5: Solve for x
    x = 3,378,782,375.92/74,607.96
  6. Step 6: Final answer
    x = 45,287.16

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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.