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Finding the Fourth Proportional to 140,773.80, 211,191.87 and 77,561.37

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Solution

The fourth proportional to 140,773.80, 211,191.87 and 77,561.37 is: 116,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,773.80 : 211,191.87 = 77,561.37 : x
  2. Step 2: Convert to fraction form
    140,773.80/211,191.87 = 77,561.37/x
  3. Step 3: Cross multiply
    140,773.80x = 211,191.87 × 77,561.37
  4. Step 4: Simplify right side
    140,773.80x = 16,380,330,770.06
  5. Step 5: Solve for x
    x = 16,380,330,770.06/140,773.80
  6. Step 6: Final answer
    x = 116,359.23

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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.