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Finding the Fourth Proportional to 90,310.56, 135,549 and 45,969

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Solution

The fourth proportional to 90,310.56, 135,549 and 45,969 is: 68,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,310.56 : 135,549 = 45,969 : x
  2. Step 2: Convert to fraction form
    90,310.56/135,549 = 45,969/x
  3. Step 3: Cross multiply
    90,310.56x = 135,549 × 45,969
  4. Step 4: Simplify right side
    90,310.56x = 6,231,051,981
  5. Step 5: Solve for x
    x = 6,231,051,981/90,310.56
  6. Step 6: Final answer
    x = 68,995.83

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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.