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Finding the Fourth Proportional to 142.10, 214.14 and 122.07

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Solution

The fourth proportional to 142.10, 214.14 and 122.07 is: 183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.10 : 214.14 = 122.07 : x
  2. Step 2: Convert to fraction form
    142.10/214.14 = 122.07/x
  3. Step 3: Cross multiply
    142.10x = 214.14 × 122.07
  4. Step 4: Simplify right side
    142.10x = 26,140.07
  5. Step 5: Solve for x
    x = 26,140.07/142.10
  6. Step 6: Final answer
    x = 183.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.