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Finding the Fourth Proportional to 142,596.60, 196,764.84 and 78,930.60

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Solution

The fourth proportional to 142,596.60, 196,764.84 and 78,930.60 is: 108,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,596.60 : 196,764.84 = 78,930.60 : x
  2. Step 2: Convert to fraction form
    142,596.60/196,764.84 = 78,930.60/x
  3. Step 3: Cross multiply
    142,596.60x = 196,764.84 × 78,930.60
  4. Step 4: Simplify right side
    142,596.60x = 15,530,766,880.10
  5. Step 5: Solve for x
    x = 15,530,766,880.10/142,596.60
  6. Step 6: Final answer
    x = 108,914.01

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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.