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Finding the Fourth Proportional to 142.95, 214 and 81.93

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Solution

The fourth proportional to 142.95, 214 and 81.93 is: 122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.95 : 214 = 81.93 : x
  2. Step 2: Convert to fraction form
    142.95/214 = 81.93/x
  3. Step 3: Cross multiply
    142.95x = 214 × 81.93
  4. Step 4: Simplify right side
    142.95x = 17,533.02
  5. Step 5: Solve for x
    x = 17,533.02/142.95
  6. Step 6: Final answer
    x = 122.65

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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.