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Finding the Fourth Proportional to 142.50, 214.13 and 77.55

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Solution

The fourth proportional to 142.50, 214.13 and 77.55 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.50 : 214.13 = 77.55 : x
  2. Step 2: Convert to fraction form
    142.50/214.13 = 77.55/x
  3. Step 3: Cross multiply
    142.50x = 214.13 × 77.55
  4. Step 4: Simplify right side
    142.50x = 16,604.74
  5. Step 5: Solve for x
    x = 16,604.74/142.50
  6. Step 6: Final answer
    x = 116.53

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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.