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Finding the Fourth Proportional to 201,872.06, 302,581.82 and 81,901.16

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Solution

The fourth proportional to 201,872.06, 302,581.82 and 81,901.16 is: 122,759.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,872.06 : 302,581.82 = 81,901.16 : x
  2. Step 2: Convert to fraction form
    201,872.06/302,581.82 = 81,901.16/x
  3. Step 3: Cross multiply
    201,872.06x = 302,581.82 × 81,901.16
  4. Step 4: Simplify right side
    201,872.06x = 24,781,802,052.91
  5. Step 5: Solve for x
    x = 24,781,802,052.91/201,872.06
  6. Step 6: Final answer
    x = 122,759.94

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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.