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Finding the Fourth Proportional to 125.09, 172.71 and 83.69

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Solution

The fourth proportional to 125.09, 172.71 and 83.69 is: 115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.09 : 172.71 = 83.69 : x
  2. Step 2: Convert to fraction form
    125.09/172.71 = 83.69/x
  3. Step 3: Cross multiply
    125.09x = 172.71 × 83.69
  4. Step 4: Simplify right side
    125.09x = 14,454.10
  5. Step 5: Solve for x
    x = 14,454.10/125.09
  6. Step 6: Final answer
    x = 115.55

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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.