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Finding the Fourth Proportional to 84,221.68, 116,223 and 50,212.64

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Solution

The fourth proportional to 84,221.68, 116,223 and 50,212.64 is: 69,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,221.68 : 116,223 = 50,212.64 : x
  2. Step 2: Convert to fraction form
    84,221.68/116,223 = 50,212.64/x
  3. Step 3: Cross multiply
    84,221.68x = 116,223 × 50,212.64
  4. Step 4: Simplify right side
    84,221.68x = 5,835,863,658.72
  5. Step 5: Solve for x
    x = 5,835,863,658.72/84,221.68
  6. Step 6: Final answer
    x = 69,291.70

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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.