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Finding the Fourth Proportional to 90.52, 125.03 and 83.85

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Solution

The fourth proportional to 90.52, 125.03 and 83.85 is: 115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.52 : 125.03 = 83.85 : x
  2. Step 2: Convert to fraction form
    90.52/125.03 = 83.85/x
  3. Step 3: Cross multiply
    90.52x = 125.03 × 83.85
  4. Step 4: Simplify right side
    90.52x = 10,483.77
  5. Step 5: Solve for x
    x = 10,483.77/90.52
  6. Step 6: Final answer
    x = 115.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.