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Finding the Fourth Proportional to 117.57, 162.24 and 65.11

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Solution

The fourth proportional to 117.57, 162.24 and 65.11 is: 89.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.57 : 162.24 = 65.11 : x
  2. Step 2: Convert to fraction form
    117.57/162.24 = 65.11/x
  3. Step 3: Cross multiply
    117.57x = 162.24 × 65.11
  4. Step 4: Simplify right side
    117.57x = 10,563.01
  5. Step 5: Solve for x
    x = 10,563.01/117.57
  6. Step 6: Final answer
    x = 89.85

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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.