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Finding the Fourth Proportional to 93.34, 139.19 and 78.22

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Solution

The fourth proportional to 93.34, 139.19 and 78.22 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.34 : 139.19 = 78.22 : x
  2. Step 2: Convert to fraction form
    93.34/139.19 = 78.22/x
  3. Step 3: Cross multiply
    93.34x = 139.19 × 78.22
  4. Step 4: Simplify right side
    93.34x = 10,887.44
  5. Step 5: Solve for x
    x = 10,887.44/93.34
  6. Step 6: Final answer
    x = 116.64

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Why These Related Problems?

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