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Finding the Fourth Proportional to 114.64, 172.10 and 74.14

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Solution

The fourth proportional to 114.64, 172.10 and 74.14 is: 111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.64 : 172.10 = 74.14 : x
  2. Step 2: Convert to fraction form
    114.64/172.10 = 74.14/x
  3. Step 3: Cross multiply
    114.64x = 172.10 × 74.14
  4. Step 4: Simplify right side
    114.64x = 12,759.49
  5. Step 5: Solve for x
    x = 12,759.49/114.64
  6. Step 6: Final answer
    x = 111.30

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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.