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Finding the Fourth Proportional to 197,885, 296,827.50 and 87,077

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Solution

The fourth proportional to 197,885, 296,827.50 and 87,077 is: 130,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,885 : 296,827.50 = 87,077 : x
  2. Step 2: Convert to fraction form
    197,885/296,827.50 = 87,077/x
  3. Step 3: Cross multiply
    197,885x = 296,827.50 × 87,077
  4. Step 4: Simplify right side
    197,885x = 25,846,848,217.50
  5. Step 5: Solve for x
    x = 25,846,848,217.50/197,885
  6. Step 6: Final answer
    x = 130,615.50

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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.