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Finding the Fourth Proportional to 145,650.87, 200,997.68 and 81,988.83

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Solution

The fourth proportional to 145,650.87, 200,997.68 and 81,988.83 is: 113,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,650.87 : 200,997.68 = 81,988.83 : x
  2. Step 2: Convert to fraction form
    145,650.87/200,997.68 = 81,988.83/x
  3. Step 3: Cross multiply
    145,650.87x = 200,997.68 × 81,988.83
  4. Step 4: Simplify right side
    145,650.87x = 16,479,564,205.97
  5. Step 5: Solve for x
    x = 16,479,564,205.97/145,650.87
  6. Step 6: Final answer
    x = 113,144.29

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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.