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Finding the Fourth Proportional to 93.42, 139.32 and 78.03

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Solution

The fourth proportional to 93.42, 139.32 and 78.03 is: 116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.42 : 139.32 = 78.03 : x
  2. Step 2: Convert to fraction form
    93.42/139.32 = 78.03/x
  3. Step 3: Cross multiply
    93.42x = 139.32 × 78.03
  4. Step 4: Simplify right side
    93.42x = 10,871.14
  5. Step 5: Solve for x
    x = 10,871.14/93.42
  6. Step 6: Final answer
    x = 116.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.