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Finding the Fourth Proportional to 93.10, 139.04 and 80.83

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Solution

The fourth proportional to 93.10, 139.04 and 80.83 is: 120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.10 : 139.04 = 80.83 : x
  2. Step 2: Convert to fraction form
    93.10/139.04 = 80.83/x
  3. Step 3: Cross multiply
    93.10x = 139.04 × 80.83
  4. Step 4: Simplify right side
    93.10x = 11,238.60
  5. Step 5: Solve for x
    x = 11,238.60/93.10
  6. Step 6: Final answer
    x = 120.72

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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.