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Finding the Fourth Proportional to 203,288.50, 280,538.13 and 123,800.50

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Solution

The fourth proportional to 203,288.50, 280,538.13 and 123,800.50 is: 170,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,288.50 : 280,538.13 = 123,800.50 : x
  2. Step 2: Convert to fraction form
    203,288.50/280,538.13 = 123,800.50/x
  3. Step 3: Cross multiply
    203,288.50x = 280,538.13 × 123,800.50
  4. Step 4: Simplify right side
    203,288.50x = 34,730,760,763.07
  5. Step 5: Solve for x
    x = 34,730,760,763.07/203,288.50
  6. Step 6: Final answer
    x = 170,844.69

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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.