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Finding the Fourth Proportional to 202,309.80, 303,810.30 and 132,498.60

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Solution

The fourth proportional to 202,309.80, 303,810.30 and 132,498.60 is: 198,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,309.80 : 303,810.30 = 132,498.60 : x
  2. Step 2: Convert to fraction form
    202,309.80/303,810.30 = 132,498.60/x
  3. Step 3: Cross multiply
    202,309.80x = 303,810.30 × 132,498.60
  4. Step 4: Simplify right side
    202,309.80x = 40,254,439,415.58
  5. Step 5: Solve for x
    x = 40,254,439,415.58/202,309.80
  6. Step 6: Final answer
    x = 198,974.24

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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.