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Finding the Fourth Proportional to 203,382, 280,667.24 and 123,894

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Solution

The fourth proportional to 203,382, 280,667.24 and 123,894 is: 170,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,382 : 280,667.24 = 123,894 : x
  2. Step 2: Convert to fraction form
    203,382/280,667.24 = 123,894/x
  3. Step 3: Cross multiply
    203,382x = 280,667.24 × 123,894
  4. Step 4: Simplify right side
    203,382x = 34,772,987,032.56
  5. Step 5: Solve for x
    x = 34,772,987,032.56/203,382
  6. Step 6: Final answer
    x = 170,973.77

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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.