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Finding the Fourth Proportional to 91, 135.70 and 84.39

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Solution

The fourth proportional to 91, 135.70 and 84.39 is: 125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91 : 135.70 = 84.39 : x
  2. Step 2: Convert to fraction form
    91/135.70 = 84.39/x
  3. Step 3: Cross multiply
    91x = 135.70 × 84.39
  4. Step 4: Simplify right side
    91x = 11,451.72
  5. Step 5: Solve for x
    x = 11,451.72/91
  6. Step 6: Final answer
    x = 125.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.