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Finding the Fourth Proportional to 92.31, 139.01 and 81.03

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Solution

The fourth proportional to 92.31, 139.01 and 81.03 is: 122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.31 : 139.01 = 81.03 : x
  2. Step 2: Convert to fraction form
    92.31/139.01 = 81.03/x
  3. Step 3: Cross multiply
    92.31x = 139.01 × 81.03
  4. Step 4: Simplify right side
    92.31x = 11,263.98
  5. Step 5: Solve for x
    x = 11,263.98/92.31
  6. Step 6: Final answer
    x = 122.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.