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Finding the Fourth Proportional to 203,171.84, 280,379.20 and 122,583.79

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Solution

The fourth proportional to 203,171.84, 280,379.20 and 122,583.79 is: 169,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,171.84 : 280,379.20 = 122,583.79 : x
  2. Step 2: Convert to fraction form
    203,171.84/280,379.20 = 122,583.79/x
  3. Step 3: Cross multiply
    203,171.84x = 280,379.20 × 122,583.79
  4. Step 4: Simplify right side
    203,171.84x = 34,369,944,973.17
  5. Step 5: Solve for x
    x = 34,369,944,973.17/203,171.84
  6. Step 6: Final answer
    x = 169,166.87

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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.