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Finding the Fourth Proportional to 122,345.70, 183,394.62 and 82,906.80

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Solution

The fourth proportional to 122,345.70, 183,394.62 and 82,906.80 is: 124,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,345.70 : 183,394.62 = 82,906.80 : x
  2. Step 2: Convert to fraction form
    122,345.70/183,394.62 = 82,906.80/x
  3. Step 3: Cross multiply
    122,345.70x = 183,394.62 × 82,906.80
  4. Step 4: Simplify right side
    122,345.70x = 15,204,661,081.42
  5. Step 5: Solve for x
    x = 15,204,661,081.42/122,345.70
  6. Step 6: Final answer
    x = 124,276.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.