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Finding the Fourth Proportional to 71,714.36, 98,966.40 and 39,882.58

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Solution

The fourth proportional to 71,714.36, 98,966.40 and 39,882.58 is: 55,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,714.36 : 98,966.40 = 39,882.58 : x
  2. Step 2: Convert to fraction form
    71,714.36/98,966.40 = 39,882.58/x
  3. Step 3: Cross multiply
    71,714.36x = 98,966.40 × 39,882.58
  4. Step 4: Simplify right side
    71,714.36x = 3,947,035,365.31
  5. Step 5: Solve for x
    x = 3,947,035,365.31/71,714.36
  6. Step 6: Final answer
    x = 55,038.28

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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.