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Finding the Fourth Proportional to 84,223, 126,367.35 and 31,636.63

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Solution

The fourth proportional to 84,223, 126,367.35 and 31,636.63 is: 47,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,223 : 126,367.35 = 31,636.63 : x
  2. Step 2: Convert to fraction form
    84,223/126,367.35 = 31,636.63/x
  3. Step 3: Cross multiply
    84,223x = 126,367.35 × 31,636.63
  4. Step 4: Simplify right side
    84,223x = 3,997,837,096.03
  5. Step 5: Solve for x
    x = 3,997,837,096.03/84,223
  6. Step 6: Final answer
    x = 47,467.28

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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.