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Finding the Fourth Proportional to 94.86, 141.50 and 84.06

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Solution

The fourth proportional to 94.86, 141.50 and 84.06 is: 125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.86 : 141.50 = 84.06 : x
  2. Step 2: Convert to fraction form
    94.86/141.50 = 84.06/x
  3. Step 3: Cross multiply
    94.86x = 141.50 × 84.06
  4. Step 4: Simplify right side
    94.86x = 11,894.07
  5. Step 5: Solve for x
    x = 11,894.07/94.86
  6. Step 6: Final answer
    x = 125.39

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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.