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Finding the Fourth Proportional to 71,709.69, 98,958.06 and 39,878.31

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Solution

The fourth proportional to 71,709.69, 98,958.06 and 39,878.31 is: 55,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.69 : 98,958.06 = 39,878.31 : x
  2. Step 2: Convert to fraction form
    71,709.69/98,958.06 = 39,878.31/x
  3. Step 3: Cross multiply
    71,709.69x = 98,958.06 × 39,878.31
  4. Step 4: Simplify right side
    71,709.69x = 3,946,280,193.68
  5. Step 5: Solve for x
    x = 3,946,280,193.68/71,709.69
  6. Step 6: Final answer
    x = 55,031.34

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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.