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Finding the Fourth Proportional to 142.61, 214.14 and 82.01

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Solution

The fourth proportional to 142.61, 214.14 and 82.01 is: 123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.61 : 214.14 = 82.01 : x
  2. Step 2: Convert to fraction form
    142.61/214.14 = 82.01/x
  3. Step 3: Cross multiply
    142.61x = 214.14 × 82.01
  4. Step 4: Simplify right side
    142.61x = 17,562.46
  5. Step 5: Solve for x
    x = 17,562.46/142.61
  6. Step 6: Final answer
    x = 123.15

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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.