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Finding the Fourth Proportional to 140,553.40, 210,830.10 and 81,540.85

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Solution

The fourth proportional to 140,553.40, 210,830.10 and 81,540.85 is: 122,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,553.40 : 210,830.10 = 81,540.85 : x
  2. Step 2: Convert to fraction form
    140,553.40/210,830.10 = 81,540.85/x
  3. Step 3: Cross multiply
    140,553.40x = 210,830.10 × 81,540.85
  4. Step 4: Simplify right side
    140,553.40x = 17,191,265,559.59
  5. Step 5: Solve for x
    x = 17,191,265,559.59/140,553.40
  6. Step 6: Final answer
    x = 122,311.28

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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.