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Finding the Fourth Proportional to 127.86, 175.08 and 122.40

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Solution

The fourth proportional to 127.86, 175.08 and 122.40 is: 167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 175.08 = 122.40 : x
  2. Step 2: Convert to fraction form
    127.86/175.08 = 122.40/x
  3. Step 3: Cross multiply
    127.86x = 175.08 × 122.40
  4. Step 4: Simplify right side
    127.86x = 21,429.79
  5. Step 5: Solve for x
    x = 21,429.79/127.86
  6. Step 6: Final answer
    x = 167.60

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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.