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Finding the Fourth Proportional to 202,398.30, 303,781.05 and 102,627.90

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Solution

The fourth proportional to 202,398.30, 303,781.05 and 102,627.90 is: 154,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,398.30 : 303,781.05 = 102,627.90 : x
  2. Step 2: Convert to fraction form
    202,398.30/303,781.05 = 102,627.90/x
  3. Step 3: Cross multiply
    202,398.30x = 303,781.05 × 102,627.90
  4. Step 4: Simplify right side
    202,398.30x = 31,176,411,221.30
  5. Step 5: Solve for x
    x = 31,176,411,221.30/202,398.30
  6. Step 6: Final answer
    x = 154,034.95

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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.