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Finding the Fourth Proportional to 93.40, 128.78 and 60.12

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Solution

The fourth proportional to 93.40, 128.78 and 60.12 is: 82.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.40 : 128.78 = 60.12 : x
  2. Step 2: Convert to fraction form
    93.40/128.78 = 60.12/x
  3. Step 3: Cross multiply
    93.40x = 128.78 × 60.12
  4. Step 4: Simplify right side
    93.40x = 7,742.25
  5. Step 5: Solve for x
    x = 7,742.25/93.40
  6. Step 6: Final answer
    x = 82.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.