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Finding the Fourth Proportional to 90,016.96, 135,027.60 and 27,688

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Solution

The fourth proportional to 90,016.96, 135,027.60 and 27,688 is: 41,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,016.96 : 135,027.60 = 27,688 : x
  2. Step 2: Convert to fraction form
    90,016.96/135,027.60 = 27,688/x
  3. Step 3: Cross multiply
    90,016.96x = 135,027.60 × 27,688
  4. Step 4: Simplify right side
    90,016.96x = 3,738,644,188.80
  5. Step 5: Solve for x
    x = 3,738,644,188.80/90,016.96
  6. Step 6: Final answer
    x = 41,532.66

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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.