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Finding the Fourth Proportional to 202,138.80, 303,317.55 and 83,822.10

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Solution

The fourth proportional to 202,138.80, 303,317.55 and 83,822.10 is: 125,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,138.80 : 303,317.55 = 83,822.10 : x
  2. Step 2: Convert to fraction form
    202,138.80/303,317.55 = 83,822.10/x
  3. Step 3: Cross multiply
    202,138.80x = 303,317.55 × 83,822.10
  4. Step 4: Simplify right side
    202,138.80x = 25,424,714,007.86
  5. Step 5: Solve for x
    x = 25,424,714,007.86/202,138.80
  6. Step 6: Final answer
    x = 125,778.49

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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.