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Finding the Fourth Proportional to 90,311.56, 135,550.50 and 45,970

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Solution

The fourth proportional to 90,311.56, 135,550.50 and 45,970 is: 68,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,311.56 : 135,550.50 = 45,970 : x
  2. Step 2: Convert to fraction form
    90,311.56/135,550.50 = 45,970/x
  3. Step 3: Cross multiply
    90,311.56x = 135,550.50 × 45,970
  4. Step 4: Simplify right side
    90,311.56x = 6,231,256,485
  5. Step 5: Solve for x
    x = 6,231,256,485/90,311.56
  6. Step 6: Final answer
    x = 68,997.33

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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.