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Finding the Fourth Proportional to 202,463.30, 279,394 and 111,817.32

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Solution

The fourth proportional to 202,463.30, 279,394 and 111,817.32 is: 154,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,463.30 : 279,394 = 111,817.32 : x
  2. Step 2: Convert to fraction form
    202,463.30/279,394 = 111,817.32/x
  3. Step 3: Cross multiply
    202,463.30x = 279,394 × 111,817.32
  4. Step 4: Simplify right side
    202,463.30x = 31,241,088,304.08
  5. Step 5: Solve for x
    x = 31,241,088,304.08/202,463.30
  6. Step 6: Final answer
    x = 154,304.94

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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.