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Finding the Fourth Proportional to 137,382.96, 189,591.60 and 76,958.04

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Solution

The fourth proportional to 137,382.96, 189,591.60 and 76,958.04 is: 106,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,382.96 : 189,591.60 = 76,958.04 : x
  2. Step 2: Convert to fraction form
    137,382.96/189,591.60 = 76,958.04/x
  3. Step 3: Cross multiply
    137,382.96x = 189,591.60 × 76,958.04
  4. Step 4: Simplify right side
    137,382.96x = 14,590,597,936.46
  5. Step 5: Solve for x
    x = 14,590,597,936.46/137,382.96
  6. Step 6: Final answer
    x = 106,203.84

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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.