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Finding the Fourth Proportional to 199,205.30, 274,903.30 and 109,781.30

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Solution

The fourth proportional to 199,205.30, 274,903.30 and 109,781.30 is: 151,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,205.30 : 274,903.30 = 109,781.30 : x
  2. Step 2: Convert to fraction form
    199,205.30/274,903.30 = 109,781.30/x
  3. Step 3: Cross multiply
    199,205.30x = 274,903.30 × 109,781.30
  4. Step 4: Simplify right side
    199,205.30x = 30,179,241,648.29
  5. Step 5: Solve for x
    x = 30,179,241,648.29/199,205.30
  6. Step 6: Final answer
    x = 151,498.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.