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Finding the Fourth Proportional to 203,412.62, 280,724.20 and 122,859.74

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Solution

The fourth proportional to 203,412.62, 280,724.20 and 122,859.74 is: 169,555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,412.62 : 280,724.20 = 122,859.74 : x
  2. Step 2: Convert to fraction form
    203,412.62/280,724.20 = 122,859.74/x
  3. Step 3: Cross multiply
    203,412.62x = 280,724.20 × 122,859.74
  4. Step 4: Simplify right side
    203,412.62x = 34,489,702,223.71
  5. Step 5: Solve for x
    x = 34,489,702,223.71/203,412.62
  6. Step 6: Final answer
    x = 169,555.37

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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.