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Finding the Fourth Proportional to 93.81, 140.85 and 77.88

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Solution

The fourth proportional to 93.81, 140.85 and 77.88 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.81 : 140.85 = 77.88 : x
  2. Step 2: Convert to fraction form
    93.81/140.85 = 77.88/x
  3. Step 3: Cross multiply
    93.81x = 140.85 × 77.88
  4. Step 4: Simplify right side
    93.81x = 10,969.40
  5. Step 5: Solve for x
    x = 10,969.40/93.81
  6. Step 6: Final answer
    x = 116.93

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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.