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Finding the Fourth Proportional to 140.01, 193.23 and 84.77

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Solution

The fourth proportional to 140.01, 193.23 and 84.77 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.01 : 193.23 = 84.77 : x
  2. Step 2: Convert to fraction form
    140.01/193.23 = 84.77/x
  3. Step 3: Cross multiply
    140.01x = 193.23 × 84.77
  4. Step 4: Simplify right side
    140.01x = 16,379.14
  5. Step 5: Solve for x
    x = 16,379.14/140.01
  6. Step 6: Final answer
    x = 116.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.