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Finding the Fourth Proportional to 68,546, 102,772.15 and 36,529.90

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Solution

The fourth proportional to 68,546, 102,772.15 and 36,529.90 is: 54,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,546 : 102,772.15 = 36,529.90 : x
  2. Step 2: Convert to fraction form
    68,546/102,772.15 = 36,529.90/x
  3. Step 3: Cross multiply
    68,546x = 102,772.15 × 36,529.90
  4. Step 4: Simplify right side
    68,546x = 3,754,256,362.29
  5. Step 5: Solve for x
    x = 3,754,256,362.29/68,546
  6. Step 6: Final answer
    x = 54,769.88

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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.