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Finding the Fourth Proportional to 127.06, 174.81 and 97.90

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Solution

The fourth proportional to 127.06, 174.81 and 97.90 is: 134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.06 : 174.81 = 97.90 : x
  2. Step 2: Convert to fraction form
    127.06/174.81 = 97.90/x
  3. Step 3: Cross multiply
    127.06x = 174.81 × 97.90
  4. Step 4: Simplify right side
    127.06x = 17,113.90
  5. Step 5: Solve for x
    x = 17,113.90/127.06
  6. Step 6: Final answer
    x = 134.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.