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Finding the Fourth Proportional to 117.50, 162.16 and 73.82

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Solution

The fourth proportional to 117.50, 162.16 and 73.82 is: 101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.50 : 162.16 = 73.82 : x
  2. Step 2: Convert to fraction form
    117.50/162.16 = 73.82/x
  3. Step 3: Cross multiply
    117.50x = 162.16 × 73.82
  4. Step 4: Simplify right side
    117.50x = 11,970.87
  5. Step 5: Solve for x
    x = 11,970.87/117.50
  6. Step 6: Final answer
    x = 101.88

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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.