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Finding the Fourth Proportional to 66,450, 91,702.50 and 37,765.14

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Solution

The fourth proportional to 66,450, 91,702.50 and 37,765.14 is: 52,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,450 : 91,702.50 = 37,765.14 : x
  2. Step 2: Convert to fraction form
    66,450/91,702.50 = 37,765.14/x
  3. Step 3: Cross multiply
    66,450x = 91,702.50 × 37,765.14
  4. Step 4: Simplify right side
    66,450x = 3,463,157,750.85
  5. Step 5: Solve for x
    x = 3,463,157,750.85/66,450
  6. Step 6: Final answer
    x = 52,116.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.