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Finding the Fourth Proportional to 71,209.82, 106,720.41 and 37,858.07

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Solution

The fourth proportional to 71,209.82, 106,720.41 and 37,858.07 is: 56,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209.82 : 106,720.41 = 37,858.07 : x
  2. Step 2: Convert to fraction form
    71,209.82/106,720.41 = 37,858.07/x
  3. Step 3: Cross multiply
    71,209.82x = 106,720.41 × 37,858.07
  4. Step 4: Simplify right side
    71,209.82x = 4,040,228,218.61
  5. Step 5: Solve for x
    x = 4,040,228,218.61/71,209.82
  6. Step 6: Final answer
    x = 56,736.96

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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.