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Finding the Fourth Proportional to 142.47, 214.47 and 122.63

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Solution

The fourth proportional to 142.47, 214.47 and 122.63 is: 184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.47 : 214.47 = 122.63 : x
  2. Step 2: Convert to fraction form
    142.47/214.47 = 122.63/x
  3. Step 3: Cross multiply
    142.47x = 214.47 × 122.63
  4. Step 4: Simplify right side
    142.47x = 26,299.38
  5. Step 5: Solve for x
    x = 26,299.38/142.47
  6. Step 6: Final answer
    x = 184.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.