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Finding the Fourth Proportional to 71,421.86, 107,133.71 and 49,229.28

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Solution

The fourth proportional to 71,421.86, 107,133.71 and 49,229.28 is: 73,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,421.86 : 107,133.71 = 49,229.28 : x
  2. Step 2: Convert to fraction form
    71,421.86/107,133.71 = 49,229.28/x
  3. Step 3: Cross multiply
    71,421.86x = 107,133.71 × 49,229.28
  4. Step 4: Simplify right side
    71,421.86x = 5,274,115,160.88
  5. Step 5: Solve for x
    x = 5,274,115,160.88/71,421.86
  6. Step 6: Final answer
    x = 73,844.56

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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.