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Finding the Fourth Proportional to 66,800, 100,206.64 and 24,691.12

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Solution

The fourth proportional to 66,800, 100,206.64 and 24,691.12 is: 37,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,800 : 100,206.64 = 24,691.12 : x
  2. Step 2: Convert to fraction form
    66,800/100,206.64 = 24,691.12/x
  3. Step 3: Cross multiply
    66,800x = 100,206.64 × 24,691.12
  4. Step 4: Simplify right side
    66,800x = 2,474,214,173.04
  5. Step 5: Solve for x
    x = 2,474,214,173.04/66,800
  6. Step 6: Final answer
    x = 37,039.13

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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.