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Finding the Fourth Proportional to 147.12, 202.68 and 122.07

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Solution

The fourth proportional to 147.12, 202.68 and 122.07 is: 168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.12 : 202.68 = 122.07 : x
  2. Step 2: Convert to fraction form
    147.12/202.68 = 122.07/x
  3. Step 3: Cross multiply
    147.12x = 202.68 × 122.07
  4. Step 4: Simplify right side
    147.12x = 24,741.15
  5. Step 5: Solve for x
    x = 24,741.15/147.12
  6. Step 6: Final answer
    x = 168.17

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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.