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Finding the Fourth Proportional to 90,584.70, 135,838.99 and 34,393.83

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Solution

The fourth proportional to 90,584.70, 135,838.99 and 34,393.83 is: 51,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,584.70 : 135,838.99 = 34,393.83 : x
  2. Step 2: Convert to fraction form
    90,584.70/135,838.99 = 34,393.83/x
  3. Step 3: Cross multiply
    90,584.70x = 135,838.99 × 34,393.83
  4. Step 4: Simplify right side
    90,584.70x = 4,672,023,129.43
  5. Step 5: Solve for x
    x = 4,672,023,129.43/90,584.70
  6. Step 6: Final answer
    x = 51,576.29

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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.