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Finding the Fourth Proportional to 84,550.92, 116,414.72 and 71,777.63

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Solution

The fourth proportional to 84,550.92, 116,414.72 and 71,777.63 is: 98,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,550.92 : 116,414.72 = 71,777.63 : x
  2. Step 2: Convert to fraction form
    84,550.92/116,414.72 = 71,777.63/x
  3. Step 3: Cross multiply
    84,550.92x = 116,414.72 × 71,777.63
  4. Step 4: Simplify right side
    84,550.92x = 8,355,971,757.75
  5. Step 5: Solve for x
    x = 8,355,971,757.75/84,550.92
  6. Step 6: Final answer
    x = 98,827.69

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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.