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Finding the Fourth Proportional to 90,077, 135,114.42 and 84,596.56

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Solution

The fourth proportional to 90,077, 135,114.42 and 84,596.56 is: 126,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,077 : 135,114.42 = 84,596.56 : x
  2. Step 2: Convert to fraction form
    90,077/135,114.42 = 84,596.56/x
  3. Step 3: Cross multiply
    90,077x = 135,114.42 × 84,596.56
  4. Step 4: Simplify right side
    90,077x = 11,430,215,138.40
  5. Step 5: Solve for x
    x = 11,430,215,138.40/90,077
  6. Step 6: Final answer
    x = 126,893.83

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1.5x scale

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.