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Finding the Fourth Proportional to 84,104, 126,156 and 47,170.88

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Solution

The fourth proportional to 84,104, 126,156 and 47,170.88 is: 70,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,104 : 126,156 = 47,170.88 : x
  2. Step 2: Convert to fraction form
    84,104/126,156 = 47,170.88/x
  3. Step 3: Cross multiply
    84,104x = 126,156 × 47,170.88
  4. Step 4: Simplify right side
    84,104x = 5,950,889,537.28
  5. Step 5: Solve for x
    x = 5,950,889,537.28/84,104
  6. Step 6: Final answer
    x = 70,756.32

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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.