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Finding the Fourth Proportional to 202,136.15, 278,949.20 and 111,494.57

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Solution

The fourth proportional to 202,136.15, 278,949.20 and 111,494.57 is: 153,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,136.15 : 278,949.20 = 111,494.57 : x
  2. Step 2: Convert to fraction form
    202,136.15/278,949.20 = 111,494.57/x
  3. Step 3: Cross multiply
    202,136.15x = 278,949.20 × 111,494.57
  4. Step 4: Simplify right side
    202,136.15x = 31,101,319,153.63
  5. Step 5: Solve for x
    x = 31,101,319,153.63/202,136.15
  6. Step 6: Final answer
    x = 153,863.22

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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.