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Finding the Fourth Proportional to 114.70, 172.12 and 83.78

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Solution

The fourth proportional to 114.70, 172.12 and 83.78 is: 125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.70 : 172.12 = 83.78 : x
  2. Step 2: Convert to fraction form
    114.70/172.12 = 83.78/x
  3. Step 3: Cross multiply
    114.70x = 172.12 × 83.78
  4. Step 4: Simplify right side
    114.70x = 14,420.21
  5. Step 5: Solve for x
    x = 14,420.21/114.70
  6. Step 6: Final answer
    x = 125.72

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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.