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Finding the Fourth Proportional to 127.40, 174.76 and 117.68

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Solution

The fourth proportional to 127.40, 174.76 and 117.68 is: 161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.40 : 174.76 = 117.68 : x
  2. Step 2: Convert to fraction form
    127.40/174.76 = 117.68/x
  3. Step 3: Cross multiply
    127.40x = 174.76 × 117.68
  4. Step 4: Simplify right side
    127.40x = 20,565.76
  5. Step 5: Solve for x
    x = 20,565.76/127.40
  6. Step 6: Final answer
    x = 161.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.