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Finding the Fourth Proportional to 127.31, 175.77 and 90.54

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Solution

The fourth proportional to 127.31, 175.77 and 90.54 is: 125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.31 : 175.77 = 90.54 : x
  2. Step 2: Convert to fraction form
    127.31/175.77 = 90.54/x
  3. Step 3: Cross multiply
    127.31x = 175.77 × 90.54
  4. Step 4: Simplify right side
    127.31x = 15,914.22
  5. Step 5: Solve for x
    x = 15,914.22/127.31
  6. Step 6: Final answer
    x = 125.01

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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.