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Finding the Fourth Proportional to 133,869.92, 200,856.51 and 70,687.49

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Solution

The fourth proportional to 133,869.92, 200,856.51 and 70,687.49 is: 106,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,869.92 : 200,856.51 = 70,687.49 : x
  2. Step 2: Convert to fraction form
    133,869.92/200,856.51 = 70,687.49/x
  3. Step 3: Cross multiply
    133,869.92x = 200,856.51 × 70,687.49
  4. Step 4: Simplify right side
    133,869.92x = 14,198,041,537.78
  5. Step 5: Solve for x
    x = 14,198,041,537.78/133,869.92
  6. Step 6: Final answer
    x = 106,058.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.