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Finding the Fourth Proportional to 93.51, 140.12 and 84.30

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Solution

The fourth proportional to 93.51, 140.12 and 84.30 is: 126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.51 : 140.12 = 84.30 : x
  2. Step 2: Convert to fraction form
    93.51/140.12 = 84.30/x
  3. Step 3: Cross multiply
    93.51x = 140.12 × 84.30
  4. Step 4: Simplify right side
    93.51x = 11,812.12
  5. Step 5: Solve for x
    x = 11,812.12/93.51
  6. Step 6: Final answer
    x = 126.32

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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.