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Finding the Fourth Proportional to 94, 141.06 and 57.82

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Solution

The fourth proportional to 94, 141.06 and 57.82 is: 86.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94 : 141.06 = 57.82 : x
  2. Step 2: Convert to fraction form
    94/141.06 = 57.82/x
  3. Step 3: Cross multiply
    94x = 141.06 × 57.82
  4. Step 4: Simplify right side
    94x = 8,156.09
  5. Step 5: Solve for x
    x = 8,156.09/94
  6. Step 6: Final answer
    x = 86.77

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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.