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Finding the Fourth Proportional to 127.86, 192.48 and 116.70

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Solution

The fourth proportional to 127.86, 192.48 and 116.70 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 192.48 = 116.70 : x
  2. Step 2: Convert to fraction form
    127.86/192.48 = 116.70/x
  3. Step 3: Cross multiply
    127.86x = 192.48 × 116.70
  4. Step 4: Simplify right side
    127.86x = 22,462.42
  5. Step 5: Solve for x
    x = 22,462.42/127.86
  6. Step 6: Final answer
    x = 175.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.