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Finding the Fourth Proportional to 202,136.62, 278,949.84 and 111,495.03

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Solution

The fourth proportional to 202,136.62, 278,949.84 and 111,495.03 is: 153,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,136.62 : 278,949.84 = 111,495.03 : x
  2. Step 2: Convert to fraction form
    202,136.62/278,949.84 = 111,495.03/x
  3. Step 3: Cross multiply
    202,136.62x = 278,949.84 × 111,495.03
  4. Step 4: Simplify right side
    202,136.62x = 31,101,520,360.66
  5. Step 5: Solve for x
    x = 31,101,520,360.66/202,136.62
  6. Step 6: Final answer
    x = 153,863.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.