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Finding the Fourth Proportional to 66,795.74, 100,234.32 and 34,778.06

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Solution

The fourth proportional to 66,795.74, 100,234.32 and 34,778.06 is: 52,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,795.74 : 100,234.32 = 34,778.06 : x
  2. Step 2: Convert to fraction form
    66,795.74/100,234.32 = 34,778.06/x
  3. Step 3: Cross multiply
    66,795.74x = 100,234.32 × 34,778.06
  4. Step 4: Simplify right side
    66,795.74x = 3,485,955,195.02
  5. Step 5: Solve for x
    x = 3,485,955,195.02/66,795.74
  6. Step 6: Final answer
    x = 52,188.29

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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.