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Finding the Fourth Proportional to 117.30, 161.91 and 70.71

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Solution

The fourth proportional to 117.30, 161.91 and 70.71 is: 97.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.30 : 161.91 = 70.71 : x
  2. Step 2: Convert to fraction form
    117.30/161.91 = 70.71/x
  3. Step 3: Cross multiply
    117.30x = 161.91 × 70.71
  4. Step 4: Simplify right side
    117.30x = 11,448.66
  5. Step 5: Solve for x
    x = 11,448.66/117.30
  6. Step 6: Final answer
    x = 97.60

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