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Finding the Fourth Proportional to 90,069.87, 135,084.24 and 33,915.90

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Solution

The fourth proportional to 90,069.87, 135,084.24 and 33,915.90 is: 50,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,069.87 : 135,084.24 = 33,915.90 : x
  2. Step 2: Convert to fraction form
    90,069.87/135,084.24 = 33,915.90/x
  3. Step 3: Cross multiply
    90,069.87x = 135,084.24 × 33,915.90
  4. Step 4: Simplify right side
    90,069.87x = 4,581,503,575.42
  5. Step 5: Solve for x
    x = 4,581,503,575.42/90,069.87
  6. Step 6: Final answer
    x = 50,866.11

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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.