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Finding the Fourth Proportional to 117.63, 162.41 and 95.85

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Solution

The fourth proportional to 117.63, 162.41 and 95.85 is: 132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.63 : 162.41 = 95.85 : x
  2. Step 2: Convert to fraction form
    117.63/162.41 = 95.85/x
  3. Step 3: Cross multiply
    117.63x = 162.41 × 95.85
  4. Step 4: Simplify right side
    117.63x = 15,567.00
  5. Step 5: Solve for x
    x = 15,567.00/117.63
  6. Step 6: Final answer
    x = 132.34

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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.