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Finding the Fourth Proportional to 147.12, 203.23 and 117.81

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Solution

The fourth proportional to 147.12, 203.23 and 117.81 is: 162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.12 : 203.23 = 117.81 : x
  2. Step 2: Convert to fraction form
    147.12/203.23 = 117.81/x
  3. Step 3: Cross multiply
    147.12x = 203.23 × 117.81
  4. Step 4: Simplify right side
    147.12x = 23,942.53
  5. Step 5: Solve for x
    x = 23,942.53/147.12
  6. Step 6: Final answer
    x = 162.74

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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.