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Finding the Fourth Proportional to 93.47, 140.21 and 32.61

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Solution

The fourth proportional to 93.47, 140.21 and 32.61 is: 48.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.47 : 140.21 = 32.61 : x
  2. Step 2: Convert to fraction form
    93.47/140.21 = 32.61/x
  3. Step 3: Cross multiply
    93.47x = 140.21 × 32.61
  4. Step 4: Simplify right side
    93.47x = 4,572.09
  5. Step 5: Solve for x
    x = 4,572.09/93.47
  6. Step 6: Final answer
    x = 48.92

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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.