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Finding the Fourth Proportional to 208,064.53, 311,845.82 and 101,288.44

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Solution

The fourth proportional to 208,064.53, 311,845.82 and 101,288.44 is: 151,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,064.53 : 311,845.82 = 101,288.44 : x
  2. Step 2: Convert to fraction form
    208,064.53/311,845.82 = 101,288.44/x
  3. Step 3: Cross multiply
    208,064.53x = 311,845.82 × 101,288.44
  4. Step 4: Simplify right side
    208,064.53x = 31,586,375,069.09
  5. Step 5: Solve for x
    x = 31,586,375,069.09/208,064.53
  6. Step 6: Final answer
    x = 151,810.48

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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.