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Finding the Fourth Proportional to 137,431.44, 189,662.76 and 76,998.56

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Solution

The fourth proportional to 137,431.44, 189,662.76 and 76,998.56 is: 106,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,431.44 : 189,662.76 = 76,998.56 : x
  2. Step 2: Convert to fraction form
    137,431.44/189,662.76 = 76,998.56/x
  3. Step 3: Cross multiply
    137,431.44x = 189,662.76 × 76,998.56
  4. Step 4: Simplify right side
    137,431.44x = 14,603,759,405.63
  5. Step 5: Solve for x
    x = 14,603,759,405.63/137,431.44
  6. Step 6: Final answer
    x = 106,262.14

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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.