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Finding the Fourth Proportional to 208,772.87, 313,005.94 and 66,536.30

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Solution

The fourth proportional to 208,772.87, 313,005.94 and 66,536.30 is: 99,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,772.87 : 313,005.94 = 66,536.30 : x
  2. Step 2: Convert to fraction form
    208,772.87/313,005.94 = 66,536.30/x
  3. Step 3: Cross multiply
    208,772.87x = 313,005.94 × 66,536.30
  4. Step 4: Simplify right side
    208,772.87x = 20,826,257,741.80
  5. Step 5: Solve for x
    x = 20,826,257,741.80/208,772.87
  6. Step 6: Final answer
    x = 99,755.58

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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.