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Finding the Fourth Proportional to 93.40, 140.09 and 50.16

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Solution

The fourth proportional to 93.40, 140.09 and 50.16 is: 75.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.40 : 140.09 = 50.16 : x
  2. Step 2: Convert to fraction form
    93.40/140.09 = 50.16/x
  3. Step 3: Cross multiply
    93.40x = 140.09 × 50.16
  4. Step 4: Simplify right side
    93.40x = 7,026.91
  5. Step 5: Solve for x
    x = 7,026.91/93.40
  6. Step 6: Final answer
    x = 75.23

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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.