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Finding the Fourth Proportional to 93.21, 139.47 and 77.84

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Solution

The fourth proportional to 93.21, 139.47 and 77.84 is: 116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.21 : 139.47 = 77.84 : x
  2. Step 2: Convert to fraction form
    93.21/139.47 = 77.84/x
  3. Step 3: Cross multiply
    93.21x = 139.47 × 77.84
  4. Step 4: Simplify right side
    93.21x = 10,855.65
  5. Step 5: Solve for x
    x = 10,855.65/93.21
  6. Step 6: Final answer
    x = 116.46

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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.