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Finding the Fourth Proportional to 125.02, 172.38 and 81.34

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Solution

The fourth proportional to 125.02, 172.38 and 81.34 is: 112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.02 : 172.38 = 81.34 : x
  2. Step 2: Convert to fraction form
    125.02/172.38 = 81.34/x
  3. Step 3: Cross multiply
    125.02x = 172.38 × 81.34
  4. Step 4: Simplify right side
    125.02x = 14,021.39
  5. Step 5: Solve for x
    x = 14,021.39/125.02
  6. Step 6: Final answer
    x = 112.15

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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.