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Finding the Fourth Proportional to 79,991.87, 120,022.84 and 37,902

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Solution

The fourth proportional to 79,991.87, 120,022.84 and 37,902 is: 56,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,991.87 : 120,022.84 = 37,902 : x
  2. Step 2: Convert to fraction form
    79,991.87/120,022.84 = 37,902/x
  3. Step 3: Cross multiply
    79,991.87x = 120,022.84 × 37,902
  4. Step 4: Simplify right side
    79,991.87x = 4,549,105,681.68
  5. Step 5: Solve for x
    x = 4,549,105,681.68/79,991.87
  6. Step 6: Final answer
    x = 56,869.60

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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.