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Finding the Fourth Proportional to 105,764.40, 158,819.40 and 70,858.80

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Solution

The fourth proportional to 105,764.40, 158,819.40 and 70,858.80 is: 106,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,764.40 : 158,819.40 = 70,858.80 : x
  2. Step 2: Convert to fraction form
    105,764.40/158,819.40 = 70,858.80/x
  3. Step 3: Cross multiply
    105,764.40x = 158,819.40 × 70,858.80
  4. Step 4: Simplify right side
    105,764.40x = 11,253,752,100.72
  5. Step 5: Solve for x
    x = 11,253,752,100.72/105,764.40
  6. Step 6: Final answer
    x = 106,403.97

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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.