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Finding the Fourth Proportional to 202,129.30, 303,303.30 and 83,812.60

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Solution

The fourth proportional to 202,129.30, 303,303.30 and 83,812.60 is: 125,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,129.30 : 303,303.30 = 83,812.60 : x
  2. Step 2: Convert to fraction form
    202,129.30/303,303.30 = 83,812.60/x
  3. Step 3: Cross multiply
    202,129.30x = 303,303.30 × 83,812.60
  4. Step 4: Simplify right side
    202,129.30x = 25,420,638,161.58
  5. Step 5: Solve for x
    x = 25,420,638,161.58/202,129.30
  6. Step 6: Final answer
    x = 125,764.24

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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.