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Finding the Fourth Proportional to 71,400.80, 107,076.49 and 29,268.92

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Solution

The fourth proportional to 71,400.80, 107,076.49 and 29,268.92 is: 43,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,400.80 : 107,076.49 = 29,268.92 : x
  2. Step 2: Convert to fraction form
    71,400.80/107,076.49 = 29,268.92/x
  3. Step 3: Cross multiply
    71,400.80x = 107,076.49 × 29,268.92
  4. Step 4: Simplify right side
    71,400.80x = 3,134,012,611.14
  5. Step 5: Solve for x
    x = 3,134,012,611.14/71,400.80
  6. Step 6: Final answer
    x = 43,893.25

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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.