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Finding the Fourth Proportional to 71,426.88, 107,144.64 and 29,859.84

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Solution

The fourth proportional to 71,426.88, 107,144.64 and 29,859.84 is: 44,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,426.88 : 107,144.64 = 29,859.84 : x
  2. Step 2: Convert to fraction form
    71,426.88/107,144.64 = 29,859.84/x
  3. Step 3: Cross multiply
    71,426.88x = 107,144.64 × 29,859.84
  4. Step 4: Simplify right side
    71,426.88x = 3,199,321,807.26
  5. Step 5: Solve for x
    x = 3,199,321,807.26/71,426.88
  6. Step 6: Final answer
    x = 44,791.57

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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.