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Finding the Fourth Proportional to 115.10, 172.48 and 54.21

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Solution

The fourth proportional to 115.10, 172.48 and 54.21 is: 81.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.10 : 172.48 = 54.21 : x
  2. Step 2: Convert to fraction form
    115.10/172.48 = 54.21/x
  3. Step 3: Cross multiply
    115.10x = 172.48 × 54.21
  4. Step 4: Simplify right side
    115.10x = 9,350.14
  5. Step 5: Solve for x
    x = 9,350.14/115.10
  6. Step 6: Final answer
    x = 81.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.