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Finding the Fourth Proportional to 91.36, 126.14 and 70.60

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Solution

The fourth proportional to 91.36, 126.14 and 70.60 is: 97.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.36 : 126.14 = 70.60 : x
  2. Step 2: Convert to fraction form
    91.36/126.14 = 70.60/x
  3. Step 3: Cross multiply
    91.36x = 126.14 × 70.60
  4. Step 4: Simplify right side
    91.36x = 8,905.48
  5. Step 5: Solve for x
    x = 8,905.48/91.36
  6. Step 6: Final answer
    x = 97.48

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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.