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Finding the Fourth Proportional to 208,991.40, 313,272.63 and 82,580.46

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Solution

The fourth proportional to 208,991.40, 313,272.63 and 82,580.46 is: 123,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,991.40 : 313,272.63 = 82,580.46 : x
  2. Step 2: Convert to fraction form
    208,991.40/313,272.63 = 82,580.46/x
  3. Step 3: Cross multiply
    208,991.40x = 313,272.63 × 82,580.46
  4. Step 4: Simplify right side
    208,991.40x = 25,870,197,890.81
  5. Step 5: Solve for x
    x = 25,870,197,890.81/208,991.40
  6. Step 6: Final answer
    x = 123,785.94

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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.