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Finding the Fourth Proportional to 84,106, 126,159 and 47,172.88

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Solution

The fourth proportional to 84,106, 126,159 and 47,172.88 is: 70,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,106 : 126,159 = 47,172.88 : x
  2. Step 2: Convert to fraction form
    84,106/126,159 = 47,172.88/x
  3. Step 3: Cross multiply
    84,106x = 126,159 × 47,172.88
  4. Step 4: Simplify right side
    84,106x = 5,951,283,367.92
  5. Step 5: Solve for x
    x = 5,951,283,367.92/84,106
  6. Step 6: Final answer
    x = 70,759.32

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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.