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Finding the Fourth Proportional to 140,903.10, 211,542.30 and 81,781.20

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Solution

The fourth proportional to 140,903.10, 211,542.30 and 81,781.20 is: 122,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,903.10 : 211,542.30 = 81,781.20 : x
  2. Step 2: Convert to fraction form
    140,903.10/211,542.30 = 81,781.20/x
  3. Step 3: Cross multiply
    140,903.10x = 211,542.30 × 81,781.20
  4. Step 4: Simplify right side
    140,903.10x = 17,300,183,144.76
  5. Step 5: Solve for x
    x = 17,300,183,144.76/140,903.10
  6. Step 6: Final answer
    x = 122,780.71

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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.