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Finding the Fourth Proportional to 71,714.96, 98,971.44 and 39,889.52

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Solution

The fourth proportional to 71,714.96, 98,971.44 and 39,889.52 is: 55,050.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,714.96 : 98,971.44 = 39,889.52 : x
  2. Step 2: Convert to fraction form
    71,714.96/98,971.44 = 39,889.52/x
  3. Step 3: Cross multiply
    71,714.96x = 98,971.44 × 39,889.52
  4. Step 4: Simplify right side
    71,714.96x = 3,947,923,235.31
  5. Step 5: Solve for x
    x = 3,947,923,235.31/71,714.96
  6. Step 6: Final answer
    x = 55,050.20

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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.