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Finding the Fourth Proportional to 93.02, 138.65 and 85.73

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Solution

The fourth proportional to 93.02, 138.65 and 85.73 is: 127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.02 : 138.65 = 85.73 : x
  2. Step 2: Convert to fraction form
    93.02/138.65 = 85.73/x
  3. Step 3: Cross multiply
    93.02x = 138.65 × 85.73
  4. Step 4: Simplify right side
    93.02x = 11,885.34
  5. Step 5: Solve for x
    x = 11,885.34/93.02
  6. Step 6: Final answer
    x = 127.78

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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.