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Finding the Fourth Proportional to 142.77, 214.25 and 82.02

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Solution

The fourth proportional to 142.77, 214.25 and 82.02 is: 123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.77 : 214.25 = 82.02 : x
  2. Step 2: Convert to fraction form
    142.77/214.25 = 82.02/x
  3. Step 3: Cross multiply
    142.77x = 214.25 × 82.02
  4. Step 4: Simplify right side
    142.77x = 17,572.37
  5. Step 5: Solve for x
    x = 17,572.37/142.77
  6. Step 6: Final answer
    x = 123.08

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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.