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Finding the Fourth Proportional to 93.30, 140.72 and 83.70

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Solution

The fourth proportional to 93.30, 140.72 and 83.70 is: 126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.30 : 140.72 = 83.70 : x
  2. Step 2: Convert to fraction form
    93.30/140.72 = 83.70/x
  3. Step 3: Cross multiply
    93.30x = 140.72 × 83.70
  4. Step 4: Simplify right side
    93.30x = 11,777.85
  5. Step 5: Solve for x
    x = 11,777.85/93.30
  6. Step 6: Final answer
    x = 126.24

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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.