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Finding the Fourth Proportional to 71,883.75, 99,195.56 and 39,617.31

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Solution

The fourth proportional to 71,883.75, 99,195.56 and 39,617.31 is: 54,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,883.75 : 99,195.56 = 39,617.31 : x
  2. Step 2: Convert to fraction form
    71,883.75/99,195.56 = 39,617.31/x
  3. Step 3: Cross multiply
    71,883.75x = 99,195.56 × 39,617.31
  4. Step 4: Simplify right side
    71,883.75x = 3,929,861,053.06
  5. Step 5: Solve for x
    x = 3,929,861,053.06/71,883.75
  6. Step 6: Final answer
    x = 54,669.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.