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Finding the Fourth Proportional to 75,199.62, 112,789.53 and 35,781.78

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Solution

The fourth proportional to 75,199.62, 112,789.53 and 35,781.78 is: 53,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,199.62 : 112,789.53 = 35,781.78 : x
  2. Step 2: Convert to fraction form
    75,199.62/112,789.53 = 35,781.78/x
  3. Step 3: Cross multiply
    75,199.62x = 112,789.53 × 35,781.78
  4. Step 4: Simplify right side
    75,199.62x = 4,035,810,148.76
  5. Step 5: Solve for x
    x = 4,035,810,148.76/75,199.62
  6. Step 6: Final answer
    x = 53,667.96

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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.