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Finding the Fourth Proportional to 202,862.80, 304,553.40 and 108,168.40

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Solution

The fourth proportional to 202,862.80, 304,553.40 and 108,168.40 is: 162,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,862.80 : 304,553.40 = 108,168.40 : x
  2. Step 2: Convert to fraction form
    202,862.80/304,553.40 = 108,168.40/x
  3. Step 3: Cross multiply
    202,862.80x = 304,553.40 × 108,168.40
  4. Step 4: Simplify right side
    202,862.80x = 32,943,053,992.56
  5. Step 5: Solve for x
    x = 32,943,053,992.56/202,862.80
  6. Step 6: Final answer
    x = 162,390.81

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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.