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Finding the Fourth Proportional to 273,092.92, 409,639.38 and 86,123.32

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Solution

The fourth proportional to 273,092.92, 409,639.38 and 86,123.32 is: 129,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,092.92 : 409,639.38 = 86,123.32 : x
  2. Step 2: Convert to fraction form
    273,092.92/409,639.38 = 86,123.32/x
  3. Step 3: Cross multiply
    273,092.92x = 409,639.38 × 86,123.32
  4. Step 4: Simplify right side
    273,092.92x = 35,279,503,408.34
  5. Step 5: Solve for x
    x = 35,279,503,408.34/273,092.92
  6. Step 6: Final answer
    x = 129,184.98

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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.