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Finding the Fourth Proportional to 142.86, 214.36 and 91.52

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Solution

The fourth proportional to 142.86, 214.36 and 91.52 is: 137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.86 : 214.36 = 91.52 : x
  2. Step 2: Convert to fraction form
    142.86/214.36 = 91.52/x
  3. Step 3: Cross multiply
    142.86x = 214.36 × 91.52
  4. Step 4: Simplify right side
    142.86x = 19,618.23
  5. Step 5: Solve for x
    x = 19,618.23/142.86
  6. Step 6: Final answer
    x = 137.32

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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.