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Finding the Fourth Proportional to 93.43, 140.23 and 78.10

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Solution

The fourth proportional to 93.43, 140.23 and 78.10 is: 117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.43 : 140.23 = 78.10 : x
  2. Step 2: Convert to fraction form
    93.43/140.23 = 78.10/x
  3. Step 3: Cross multiply
    93.43x = 140.23 × 78.10
  4. Step 4: Simplify right side
    93.43x = 10,951.83
  5. Step 5: Solve for x
    x = 10,951.83/93.43
  6. Step 6: Final answer
    x = 117.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.