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Finding the Fourth Proportional to 71,749, 107,640.78 and 22,501

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Solution

The fourth proportional to 71,749, 107,640.78 and 22,501 is: 33,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,749 : 107,640.78 = 22,501 : x
  2. Step 2: Convert to fraction form
    71,749/107,640.78 = 22,501/x
  3. Step 3: Cross multiply
    71,749x = 107,640.78 × 22,501
  4. Step 4: Simplify right side
    71,749x = 2,422,025,190.78
  5. Step 5: Solve for x
    x = 2,422,025,190.78/71,749
  6. Step 6: Final answer
    x = 33,756.92

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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.