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Finding the Fourth Proportional to 84,253.92, 126,283.68 and 31,629.84

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Solution

The fourth proportional to 84,253.92, 126,283.68 and 31,629.84 is: 47,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,253.92 : 126,283.68 = 31,629.84 : x
  2. Step 2: Convert to fraction form
    84,253.92/126,283.68 = 31,629.84/x
  3. Step 3: Cross multiply
    84,253.92x = 126,283.68 × 31,629.84
  4. Step 4: Simplify right side
    84,253.92x = 3,994,332,593.01
  5. Step 5: Solve for x
    x = 3,994,332,593.01/84,253.92
  6. Step 6: Final answer
    x = 47,408.27

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1.5x scale

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.