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Finding the Fourth Proportional to 200,083.59, 300,014.58 and 81,837.96

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Solution

The fourth proportional to 200,083.59, 300,014.58 and 81,837.96 is: 122,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,083.59 : 300,014.58 = 81,837.96 : x
  2. Step 2: Convert to fraction form
    200,083.59/300,014.58 = 81,837.96/x
  3. Step 3: Cross multiply
    200,083.59x = 300,014.58 × 81,837.96
  4. Step 4: Simplify right side
    200,083.59x = 24,552,581,197.46
  5. Step 5: Solve for x
    x = 24,552,581,197.46/200,083.59
  6. Step 6: Final answer
    x = 122,711.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.