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Finding the Fourth Proportional to 66,800, 100,112.52 and 37,231.76

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Solution

The fourth proportional to 66,800, 100,112.52 and 37,231.76 is: 55,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,800 : 100,112.52 = 37,231.76 : x
  2. Step 2: Convert to fraction form
    66,800/100,112.52 = 37,231.76/x
  3. Step 3: Cross multiply
    66,800x = 100,112.52 × 37,231.76
  4. Step 4: Simplify right side
    66,800x = 3,727,365,317.64
  5. Step 5: Solve for x
    x = 3,727,365,317.64/66,800
  6. Step 6: Final answer
    x = 55,798.88

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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.