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Finding the Fourth Proportional to 202,172.20, 303,258.30 and 83,831.20

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Solution

The fourth proportional to 202,172.20, 303,258.30 and 83,831.20 is: 125,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,172.20 : 303,258.30 = 83,831.20 : x
  2. Step 2: Convert to fraction form
    202,172.20/303,258.30 = 83,831.20/x
  3. Step 3: Cross multiply
    202,172.20x = 303,258.30 × 83,831.20
  4. Step 4: Simplify right side
    202,172.20x = 25,422,507,198.96
  5. Step 5: Solve for x
    x = 25,422,507,198.96/202,172.20
  6. Step 6: Final answer
    x = 125,746.80

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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.