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Finding the Fourth Proportional to 93.10, 139.44 and 78.70

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Solution

The fourth proportional to 93.10, 139.44 and 78.70 is: 117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.10 : 139.44 = 78.70 : x
  2. Step 2: Convert to fraction form
    93.10/139.44 = 78.70/x
  3. Step 3: Cross multiply
    93.10x = 139.44 × 78.70
  4. Step 4: Simplify right side
    93.10x = 10,973.93
  5. Step 5: Solve for x
    x = 10,973.93/93.10
  6. Step 6: Final answer
    x = 117.87

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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.