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Finding the Fourth Proportional to 90,331.56, 135,580.50 and 45,990

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Solution

The fourth proportional to 90,331.56, 135,580.50 and 45,990 is: 69,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,331.56 : 135,580.50 = 45,990 : x
  2. Step 2: Convert to fraction form
    90,331.56/135,580.50 = 45,990/x
  3. Step 3: Cross multiply
    90,331.56x = 135,580.50 × 45,990
  4. Step 4: Simplify right side
    90,331.56x = 6,235,347,195
  5. Step 5: Solve for x
    x = 6,235,347,195/90,331.56
  6. Step 6: Final answer
    x = 69,027.34

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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.