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Finding the Fourth Proportional to 71,725.88, 98,980.31 and 39,894.10

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Solution

The fourth proportional to 71,725.88, 98,980.31 and 39,894.10 is: 55,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,725.88 : 98,980.31 = 39,894.10 : x
  2. Step 2: Convert to fraction form
    71,725.88/98,980.31 = 39,894.10/x
  3. Step 3: Cross multiply
    71,725.88x = 98,980.31 × 39,894.10
  4. Step 4: Simplify right side
    71,725.88x = 3,948,730,237.46
  5. Step 5: Solve for x
    x = 3,948,730,237.46/71,725.88
  6. Step 6: Final answer
    x = 55,053.07

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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.