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Finding the Fourth Proportional to 100,837.68, 150,840.96 and 82,866

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Solution

The fourth proportional to 100,837.68, 150,840.96 and 82,866 is: 123,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,837.68 : 150,840.96 = 82,866 : x
  2. Step 2: Convert to fraction form
    100,837.68/150,840.96 = 82,866/x
  3. Step 3: Cross multiply
    100,837.68x = 150,840.96 × 82,866
  4. Step 4: Simplify right side
    100,837.68x = 12,499,586,991.36
  5. Step 5: Solve for x
    x = 12,499,586,991.36/100,837.68
  6. Step 6: Final answer
    x = 123,957.50

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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.