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Finding the Fourth Proportional to 66,806.56, 100,073.76 and 31,639.60

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Solution

The fourth proportional to 66,806.56, 100,073.76 and 31,639.60 is: 47,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,806.56 : 100,073.76 = 31,639.60 : x
  2. Step 2: Convert to fraction form
    66,806.56/100,073.76 = 31,639.60/x
  3. Step 3: Cross multiply
    66,806.56x = 100,073.76 × 31,639.60
  4. Step 4: Simplify right side
    66,806.56x = 3,166,293,736.90
  5. Step 5: Solve for x
    x = 3,166,293,736.90/66,806.56
  6. Step 6: Final answer
    x = 47,394.95

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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.