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Finding the Fourth Proportional to 202,605.80, 279,594.78 and 111,965.20

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Solution

The fourth proportional to 202,605.80, 279,594.78 and 111,965.20 is: 154,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,605.80 : 279,594.78 = 111,965.20 : x
  2. Step 2: Convert to fraction form
    202,605.80/279,594.78 = 111,965.20/x
  3. Step 3: Cross multiply
    202,605.80x = 279,594.78 × 111,965.20
  4. Step 4: Simplify right side
    202,605.80x = 31,304,885,461.66
  5. Step 5: Solve for x
    x = 31,304,885,461.66/202,605.80
  6. Step 6: Final answer
    x = 154,511.30

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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.