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Finding the Fourth Proportional to 117.68, 161.30 and 116.10

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Solution

The fourth proportional to 117.68, 161.30 and 116.10 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.68 : 161.30 = 116.10 : x
  2. Step 2: Convert to fraction form
    117.68/161.30 = 116.10/x
  3. Step 3: Cross multiply
    117.68x = 161.30 × 116.10
  4. Step 4: Simplify right side
    117.68x = 18,727.22
  5. Step 5: Solve for x
    x = 18,727.22/117.68
  6. Step 6: Final answer
    x = 159.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.