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Finding the Fourth Proportional to 107,691.40, 161,709.90 and 72,785.80

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Solution

The fourth proportional to 107,691.40, 161,709.90 and 72,785.80 is: 109,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,691.40 : 161,709.90 = 72,785.80 : x
  2. Step 2: Convert to fraction form
    107,691.40/161,709.90 = 72,785.80/x
  3. Step 3: Cross multiply
    107,691.40x = 161,709.90 × 72,785.80
  4. Step 4: Simplify right side
    107,691.40x = 11,770,184,439.42
  5. Step 5: Solve for x
    x = 11,770,184,439.42/107,691.40
  6. Step 6: Final answer
    x = 109,295.49

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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.