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Finding the Fourth Proportional to 84,425.92, 116,457 and 55,745.84

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Solution

The fourth proportional to 84,425.92, 116,457 and 55,745.84 is: 76,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,425.92 : 116,457 = 55,745.84 : x
  2. Step 2: Convert to fraction form
    84,425.92/116,457 = 55,745.84/x
  3. Step 3: Cross multiply
    84,425.92x = 116,457 × 55,745.84
  4. Step 4: Simplify right side
    84,425.92x = 6,491,993,288.88
  5. Step 5: Solve for x
    x = 6,491,993,288.88/84,425.92
  6. Step 6: Final answer
    x = 76,895.74

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1.5x scale

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.