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Finding the Fourth Proportional to 89,690, 123,772.20 and 51,986.12

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Solution

The fourth proportional to 89,690, 123,772.20 and 51,986.12 is: 71,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,690 : 123,772.20 = 51,986.12 : x
  2. Step 2: Convert to fraction form
    89,690/123,772.20 = 51,986.12/x
  3. Step 3: Cross multiply
    89,690x = 123,772.20 × 51,986.12
  4. Step 4: Simplify right side
    89,690x = 6,434,436,441.86
  5. Step 5: Solve for x
    x = 6,434,436,441.86/89,690
  6. Step 6: Final answer
    x = 71,740.85

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