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Finding the Fourth Proportional to 90,644.72, 135,932.11 and 34,455.29

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Solution

The fourth proportional to 90,644.72, 135,932.11 and 34,455.29 is: 51,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,644.72 : 135,932.11 = 34,455.29 : x
  2. Step 2: Convert to fraction form
    90,644.72/135,932.11 = 34,455.29/x
  3. Step 3: Cross multiply
    90,644.72x = 135,932.11 × 34,455.29
  4. Step 4: Simplify right side
    90,644.72x = 4,683,579,504.56
  5. Step 5: Solve for x
    x = 4,683,579,504.56/90,644.72
  6. Step 6: Final answer
    x = 51,669.64

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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.