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Finding the Fourth Proportional to 131,158, 180,998.04 and 71,542

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Solution

The fourth proportional to 131,158, 180,998.04 and 71,542 is: 98,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,158 : 180,998.04 = 71,542 : x
  2. Step 2: Convert to fraction form
    131,158/180,998.04 = 71,542/x
  3. Step 3: Cross multiply
    131,158x = 180,998.04 × 71,542
  4. Step 4: Simplify right side
    131,158x = 12,948,961,777.68
  5. Step 5: Solve for x
    x = 12,948,961,777.68/131,158
  6. Step 6: Final answer
    x = 98,727.96

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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.