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Finding the Fourth Proportional to 197,187.30, 295,694.55 and 78,819.30

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Solution

The fourth proportional to 197,187.30, 295,694.55 and 78,819.30 is: 118,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,187.30 : 295,694.55 = 78,819.30 : x
  2. Step 2: Convert to fraction form
    197,187.30/295,694.55 = 78,819.30/x
  3. Step 3: Cross multiply
    197,187.30x = 295,694.55 × 78,819.30
  4. Step 4: Simplify right side
    197,187.30x = 23,306,437,444.82
  5. Step 5: Solve for x
    x = 23,306,437,444.82/197,187.30
  6. Step 6: Final answer
    x = 118,194.41

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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.