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Finding the Fourth Proportional to 90,092.50, 135,140.64 and 27,763

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Solution

The fourth proportional to 90,092.50, 135,140.64 and 27,763 is: 41,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,092.50 : 135,140.64 = 27,763 : x
  2. Step 2: Convert to fraction form
    90,092.50/135,140.64 = 27,763/x
  3. Step 3: Cross multiply
    90,092.50x = 135,140.64 × 27,763
  4. Step 4: Simplify right side
    90,092.50x = 3,751,909,588.32
  5. Step 5: Solve for x
    x = 3,751,909,588.32/90,092.50
  6. Step 6: Final answer
    x = 41,645.08

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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.