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Finding the Fourth Proportional to 200,084.59, 300,016.08 and 81,838.96

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Solution

The fourth proportional to 200,084.59, 300,016.08 and 81,838.96 is: 122,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,084.59 : 300,016.08 = 81,838.96 : x
  2. Step 2: Convert to fraction form
    200,084.59/300,016.08 = 81,838.96/x
  3. Step 3: Cross multiply
    200,084.59x = 300,016.08 × 81,838.96
  4. Step 4: Simplify right side
    200,084.59x = 24,553,003,970.48
  5. Step 5: Solve for x
    x = 24,553,003,970.48/200,084.59
  6. Step 6: Final answer
    x = 122,713.12

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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.