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Finding the Fourth Proportional to 93.18, 139.62 and 82.29

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Solution

The fourth proportional to 93.18, 139.62 and 82.29 is: 123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.18 : 139.62 = 82.29 : x
  2. Step 2: Convert to fraction form
    93.18/139.62 = 82.29/x
  3. Step 3: Cross multiply
    93.18x = 139.62 × 82.29
  4. Step 4: Simplify right side
    93.18x = 11,489.33
  5. Step 5: Solve for x
    x = 11,489.33/93.18
  6. Step 6: Final answer
    x = 123.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.