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Finding the Fourth Proportional to 196,481.60, 294,768.48 and 78,159.68

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Solution

The fourth proportional to 196,481.60, 294,768.48 and 78,159.68 is: 117,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,481.60 : 294,768.48 = 78,159.68 : x
  2. Step 2: Convert to fraction form
    196,481.60/294,768.48 = 78,159.68/x
  3. Step 3: Cross multiply
    196,481.60x = 294,768.48 × 78,159.68
  4. Step 4: Simplify right side
    196,481.60x = 23,039,010,070.89
  5. Step 5: Solve for x
    x = 23,039,010,070.89/196,481.60
  6. Step 6: Final answer
    x = 117,257.85

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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.