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Finding the Fourth Proportional to 117.80, 162.20 and 105.50

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Solution

The fourth proportional to 117.80, 162.20 and 105.50 is: 145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.80 : 162.20 = 105.50 : x
  2. Step 2: Convert to fraction form
    117.80/162.20 = 105.50/x
  3. Step 3: Cross multiply
    117.80x = 162.20 × 105.50
  4. Step 4: Simplify right side
    117.80x = 17,112.10
  5. Step 5: Solve for x
    x = 17,112.10/117.80
  6. Step 6: Final answer
    x = 145.26

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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.