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Finding the Fourth Proportional to 142.57, 214.08 and 122.50

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Solution

The fourth proportional to 142.57, 214.08 and 122.50 is: 183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.57 : 214.08 = 122.50 : x
  2. Step 2: Convert to fraction form
    142.57/214.08 = 122.50/x
  3. Step 3: Cross multiply
    142.57x = 214.08 × 122.50
  4. Step 4: Simplify right side
    142.57x = 26,224.80
  5. Step 5: Solve for x
    x = 26,224.80/142.57
  6. Step 6: Final answer
    x = 183.94

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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.