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Finding the Fourth Proportional to 66,803.64, 100,181.80 and 19,408.86

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Solution

The fourth proportional to 66,803.64, 100,181.80 and 19,408.86 is: 29,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,803.64 : 100,181.80 = 19,408.86 : x
  2. Step 2: Convert to fraction form
    66,803.64/100,181.80 = 19,408.86/x
  3. Step 3: Cross multiply
    66,803.64x = 100,181.80 × 19,408.86
  4. Step 4: Simplify right side
    66,803.64x = 1,944,414,530.75
  5. Step 5: Solve for x
    x = 1,944,414,530.75/66,803.64
  6. Step 6: Final answer
    x = 29,106.42

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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.