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Finding the Fourth Proportional to 140,784.34, 211,245.90 and 65,909.56

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Solution

The fourth proportional to 140,784.34, 211,245.90 and 65,909.56 is: 98,896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,784.34 : 211,245.90 = 65,909.56 : x
  2. Step 2: Convert to fraction form
    140,784.34/211,245.90 = 65,909.56/x
  3. Step 3: Cross multiply
    140,784.34x = 211,245.90 × 65,909.56
  4. Step 4: Simplify right side
    140,784.34x = 13,923,124,320.80
  5. Step 5: Solve for x
    x = 13,923,124,320.80/140,784.34
  6. Step 6: Final answer
    x = 98,896.83

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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.