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Finding the Fourth Proportional to 125.03, 172.56 and 81.46

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Solution

The fourth proportional to 125.03, 172.56 and 81.46 is: 112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.03 : 172.56 = 81.46 : x
  2. Step 2: Convert to fraction form
    125.03/172.56 = 81.46/x
  3. Step 3: Cross multiply
    125.03x = 172.56 × 81.46
  4. Step 4: Simplify right side
    125.03x = 14,056.74
  5. Step 5: Solve for x
    x = 14,056.74/125.03
  6. Step 6: Final answer
    x = 112.43

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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.