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Finding the Fourth Proportional to 208,491.78, 312,619.17 and 82,063.50

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Solution

The fourth proportional to 208,491.78, 312,619.17 and 82,063.50 is: 123,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,491.78 : 312,619.17 = 82,063.50 : x
  2. Step 2: Convert to fraction form
    208,491.78/312,619.17 = 82,063.50/x
  3. Step 3: Cross multiply
    208,491.78x = 312,619.17 × 82,063.50
  4. Step 4: Simplify right side
    208,491.78x = 25,654,621,931.10
  5. Step 5: Solve for x
    x = 25,654,621,931.10/208,491.78
  6. Step 6: Final answer
    x = 123,048.60

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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.