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Finding the Fourth Proportional to 117.48, 161.97 and 76.01

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Solution

The fourth proportional to 117.48, 161.97 and 76.01 is: 104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.48 : 161.97 = 76.01 : x
  2. Step 2: Convert to fraction form
    117.48/161.97 = 76.01/x
  3. Step 3: Cross multiply
    117.48x = 161.97 × 76.01
  4. Step 4: Simplify right side
    117.48x = 12,312.25
  5. Step 5: Solve for x
    x = 12,312.25/117.48
  6. Step 6: Final answer
    x = 104.81

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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.