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Finding the Fourth Proportional to 90,078, 135,115.92 and 84,597.56

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Solution

The fourth proportional to 90,078, 135,115.92 and 84,597.56 is: 126,895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,078 : 135,115.92 = 84,597.56 : x
  2. Step 2: Convert to fraction form
    90,078/135,115.92 = 84,597.56/x
  3. Step 3: Cross multiply
    90,078x = 135,115.92 × 84,597.56
  4. Step 4: Simplify right side
    90,078x = 11,430,477,149.16
  5. Step 5: Solve for x
    x = 11,430,477,149.16/90,078
  6. Step 6: Final answer
    x = 126,895.33

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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.