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Finding the Fourth Proportional to 127.88, 191.88 and 103.74

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Solution

The fourth proportional to 127.88, 191.88 and 103.74 is: 155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.88 : 191.88 = 103.74 : x
  2. Step 2: Convert to fraction form
    127.88/191.88 = 103.74/x
  3. Step 3: Cross multiply
    127.88x = 191.88 × 103.74
  4. Step 4: Simplify right side
    127.88x = 19,905.63
  5. Step 5: Solve for x
    x = 19,905.63/127.88
  6. Step 6: Final answer
    x = 155.66

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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.