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Finding the Fourth Proportional to 100,864.65, 139,063.14 and 82,647.65

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Solution

The fourth proportional to 100,864.65, 139,063.14 and 82,647.65 is: 113,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,864.65 : 139,063.14 = 82,647.65 : x
  2. Step 2: Convert to fraction form
    100,864.65/139,063.14 = 82,647.65/x
  3. Step 3: Cross multiply
    100,864.65x = 139,063.14 × 82,647.65
  4. Step 4: Simplify right side
    100,864.65x = 11,493,241,027.31
  5. Step 5: Solve for x
    x = 11,493,241,027.31/100,864.65
  6. Step 6: Final answer
    x = 113,947.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.