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Finding the Fourth Proportional to 66,906.78, 100,377.02 and 47,223.78

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Solution

The fourth proportional to 66,906.78, 100,377.02 and 47,223.78 is: 70,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,906.78 : 100,377.02 = 47,223.78 : x
  2. Step 2: Convert to fraction form
    66,906.78/100,377.02 = 47,223.78/x
  3. Step 3: Cross multiply
    66,906.78x = 100,377.02 × 47,223.78
  4. Step 4: Simplify right side
    66,906.78x = 4,740,182,051.18
  5. Step 5: Solve for x
    x = 4,740,182,051.18/66,906.78
  6. Step 6: Final answer
    x = 70,847.56

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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.