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Finding the Fourth Proportional to 125.78, 172.43 and 123.88

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Solution

The fourth proportional to 125.78, 172.43 and 123.88 is: 169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.78 : 172.43 = 123.88 : x
  2. Step 2: Convert to fraction form
    125.78/172.43 = 123.88/x
  3. Step 3: Cross multiply
    125.78x = 172.43 × 123.88
  4. Step 4: Simplify right side
    125.78x = 21,360.63
  5. Step 5: Solve for x
    x = 21,360.63/125.78
  6. Step 6: Final answer
    x = 169.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.