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Finding the Fourth Proportional to 131,038, 180,832.52 and 71,422

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Solution

The fourth proportional to 131,038, 180,832.52 and 71,422 is: 98,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,038 : 180,832.52 = 71,422 : x
  2. Step 2: Convert to fraction form
    131,038/180,832.52 = 71,422/x
  3. Step 3: Cross multiply
    131,038x = 180,832.52 × 71,422
  4. Step 4: Simplify right side
    131,038x = 12,915,420,243.44
  5. Step 5: Solve for x
    x = 12,915,420,243.44/131,038
  6. Step 6: Final answer
    x = 98,562.40

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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.