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Finding the Fourth Proportional to 137,321.42, 205,815.79 and 58,269.57

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Solution

The fourth proportional to 137,321.42, 205,815.79 and 58,269.57 is: 87,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,321.42 : 205,815.79 = 58,269.57 : x
  2. Step 2: Convert to fraction form
    137,321.42/205,815.79 = 58,269.57/x
  3. Step 3: Cross multiply
    137,321.42x = 205,815.79 × 58,269.57
  4. Step 4: Simplify right side
    137,321.42x = 11,992,796,883.54
  5. Step 5: Solve for x
    x = 11,992,796,883.54/137,321.42
  6. Step 6: Final answer
    x = 87,333.77

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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.