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Finding the Fourth Proportional to 93.49, 140.87 and 77.59

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Solution

The fourth proportional to 93.49, 140.87 and 77.59 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.49 : 140.87 = 77.59 : x
  2. Step 2: Convert to fraction form
    93.49/140.87 = 77.59/x
  3. Step 3: Cross multiply
    93.49x = 140.87 × 77.59
  4. Step 4: Simplify right side
    93.49x = 10,930.10
  5. Step 5: Solve for x
    x = 10,930.10/93.49
  6. Step 6: Final answer
    x = 116.91

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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.