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Finding the Fourth Proportional to 197,606.92, 296,425.40 and 77,606

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Solution

The fourth proportional to 197,606.92, 296,425.40 and 77,606 is: 116,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,606.92 : 296,425.40 = 77,606 : x
  2. Step 2: Convert to fraction form
    197,606.92/296,425.40 = 77,606/x
  3. Step 3: Cross multiply
    197,606.92x = 296,425.40 × 77,606
  4. Step 4: Simplify right side
    197,606.92x = 23,004,389,592.40
  5. Step 5: Solve for x
    x = 23,004,389,592.40/197,606.92
  6. Step 6: Final answer
    x = 116,414.90

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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.