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Finding the Fourth Proportional to 93.51, 140.31 and 47.86

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Solution

The fourth proportional to 93.51, 140.31 and 47.86 is: 71.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.51 : 140.31 = 47.86 : x
  2. Step 2: Convert to fraction form
    93.51/140.31 = 47.86/x
  3. Step 3: Cross multiply
    93.51x = 140.31 × 47.86
  4. Step 4: Simplify right side
    93.51x = 6,715.24
  5. Step 5: Solve for x
    x = 6,715.24/93.51
  6. Step 6: Final answer
    x = 71.81

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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.