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Finding the Fourth Proportional to 127.62, 191.21 and 91.58

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Solution

The fourth proportional to 127.62, 191.21 and 91.58 is: 137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.62 : 191.21 = 91.58 : x
  2. Step 2: Convert to fraction form
    127.62/191.21 = 91.58/x
  3. Step 3: Cross multiply
    127.62x = 191.21 × 91.58
  4. Step 4: Simplify right side
    127.62x = 17,509.60
  5. Step 5: Solve for x
    x = 17,509.60/127.62
  6. Step 6: Final answer
    x = 137.20

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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.