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Finding the Fourth Proportional to 137,424.75, 189,640.90 and 76,992.37

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Solution

The fourth proportional to 137,424.75, 189,640.90 and 76,992.37 is: 106,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,424.75 : 189,640.90 = 76,992.37 : x
  2. Step 2: Convert to fraction form
    137,424.75/189,640.90 = 76,992.37/x
  3. Step 3: Cross multiply
    137,424.75x = 189,640.90 × 76,992.37
  4. Step 4: Simplify right side
    137,424.75x = 14,600,902,595.72
  5. Step 5: Solve for x
    x = 14,600,902,595.72/137,424.75
  6. Step 6: Final answer
    x = 106,246.53

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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.