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Finding the Fourth Proportional to 90,514.56, 135,720 and 85,296

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Solution

The fourth proportional to 90,514.56, 135,720 and 85,296 is: 127,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,514.56 : 135,720 = 85,296 : x
  2. Step 2: Convert to fraction form
    90,514.56/135,720 = 85,296/x
  3. Step 3: Cross multiply
    90,514.56x = 135,720 × 85,296
  4. Step 4: Simplify right side
    90,514.56x = 11,576,373,120
  5. Step 5: Solve for x
    x = 11,576,373,120/90,514.56
  6. Step 6: Final answer
    x = 127,895.15

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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.