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Finding the Fourth Proportional to 117.19, 161.43 and 90.97

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Solution

The fourth proportional to 117.19, 161.43 and 90.97 is: 125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.19 : 161.43 = 90.97 : x
  2. Step 2: Convert to fraction form
    117.19/161.43 = 90.97/x
  3. Step 3: Cross multiply
    117.19x = 161.43 × 90.97
  4. Step 4: Simplify right side
    117.19x = 14,685.29
  5. Step 5: Solve for x
    x = 14,685.29/117.19
  6. Step 6: Final answer
    x = 125.31

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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.