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Finding the Fourth Proportional to 71,886.18, 99,203.31 and 41,689.40

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Solution

The fourth proportional to 71,886.18, 99,203.31 and 41,689.40 is: 57,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886.18 : 99,203.31 = 41,689.40 : x
  2. Step 2: Convert to fraction form
    71,886.18/99,203.31 = 41,689.40/x
  3. Step 3: Cross multiply
    71,886.18x = 99,203.31 × 41,689.40
  4. Step 4: Simplify right side
    71,886.18x = 4,135,725,975.90
  5. Step 5: Solve for x
    x = 4,135,725,975.90/71,886.18
  6. Step 6: Final answer
    x = 57,531.59

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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.