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Finding the Fourth Proportional to 208,617, 312,949.92 and 66,412.44

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Solution

The fourth proportional to 208,617, 312,949.92 and 66,412.44 is: 99,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,617 : 312,949.92 = 66,412.44 : x
  2. Step 2: Convert to fraction form
    208,617/312,949.92 = 66,412.44/x
  3. Step 3: Cross multiply
    208,617x = 312,949.92 × 66,412.44
  4. Step 4: Simplify right side
    208,617x = 20,783,767,785.00
  5. Step 5: Solve for x
    x = 20,783,767,785.00/208,617
  6. Step 6: Final answer
    x = 99,626.43

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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.