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Finding the Fourth Proportional to 117.19, 161.82 and 73.45

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Solution

The fourth proportional to 117.19, 161.82 and 73.45 is: 101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.19 : 161.82 = 73.45 : x
  2. Step 2: Convert to fraction form
    117.19/161.82 = 73.45/x
  3. Step 3: Cross multiply
    117.19x = 161.82 × 73.45
  4. Step 4: Simplify right side
    117.19x = 11,885.27
  5. Step 5: Solve for x
    x = 11,885.27/117.19
  6. Step 6: Final answer
    x = 101.42

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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.