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Finding the Fourth Proportional to 142.88, 214.62 and 111.02

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Solution

The fourth proportional to 142.88, 214.62 and 111.02 is: 166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.88 : 214.62 = 111.02 : x
  2. Step 2: Convert to fraction form
    142.88/214.62 = 111.02/x
  3. Step 3: Cross multiply
    142.88x = 214.62 × 111.02
  4. Step 4: Simplify right side
    142.88x = 23,827.11
  5. Step 5: Solve for x
    x = 23,827.11/142.88
  6. Step 6: Final answer
    x = 166.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.