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Finding the Fourth Proportional to 137,414.67, 189,644.45 and 76,984.92

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Solution

The fourth proportional to 137,414.67, 189,644.45 and 76,984.92 is: 106,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,414.67 : 189,644.45 = 76,984.92 : x
  2. Step 2: Convert to fraction form
    137,414.67/189,644.45 = 76,984.92/x
  3. Step 3: Cross multiply
    137,414.67x = 189,644.45 × 76,984.92
  4. Step 4: Simplify right side
    137,414.67x = 14,599,762,811.69
  5. Step 5: Solve for x
    x = 14,599,762,811.69/137,414.67
  6. Step 6: Final answer
    x = 106,246.03

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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.