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Finding the Fourth Proportional to 93.66, 139.82 and 82.86

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Solution

The fourth proportional to 93.66, 139.82 and 82.86 is: 123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.66 : 139.82 = 82.86 : x
  2. Step 2: Convert to fraction form
    93.66/139.82 = 82.86/x
  3. Step 3: Cross multiply
    93.66x = 139.82 × 82.86
  4. Step 4: Simplify right side
    93.66x = 11,585.07
  5. Step 5: Solve for x
    x = 11,585.07/93.66
  6. Step 6: Final answer
    x = 123.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.