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Finding the Fourth Proportional to 197,914.60, 296,759.42 and 77,906.50

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Solution

The fourth proportional to 197,914.60, 296,759.42 and 77,906.50 is: 116,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,914.60 : 296,759.42 = 77,906.50 : x
  2. Step 2: Convert to fraction form
    197,914.60/296,759.42 = 77,906.50/x
  3. Step 3: Cross multiply
    197,914.60x = 296,759.42 × 77,906.50
  4. Step 4: Simplify right side
    197,914.60x = 23,119,487,754.23
  5. Step 5: Solve for x
    x = 23,119,487,754.23/197,914.60
  6. Step 6: Final answer
    x = 116,815.47

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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.