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Finding the Fourth Proportional to 137,414.70, 189,637.74 and 76,985.85

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Solution

The fourth proportional to 137,414.70, 189,637.74 and 76,985.85 is: 106,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,414.70 : 189,637.74 = 76,985.85 : x
  2. Step 2: Convert to fraction form
    137,414.70/189,637.74 = 76,985.85/x
  3. Step 3: Cross multiply
    137,414.70x = 189,637.74 × 76,985.85
  4. Step 4: Simplify right side
    137,414.70x = 14,599,422,605.98
  5. Step 5: Solve for x
    x = 14,599,422,605.98/137,414.70
  6. Step 6: Final answer
    x = 106,243.53

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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.