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Finding the Fourth Proportional to 142.85, 214.61 and 91.59

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Solution

The fourth proportional to 142.85, 214.61 and 91.59 is: 137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.85 : 214.61 = 91.59 : x
  2. Step 2: Convert to fraction form
    142.85/214.61 = 91.59/x
  3. Step 3: Cross multiply
    142.85x = 214.61 × 91.59
  4. Step 4: Simplify right side
    142.85x = 19,655.21
  5. Step 5: Solve for x
    x = 19,655.21/142.85
  6. Step 6: Final answer
    x = 137.60

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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.