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Finding the Fourth Proportional to 196,628.16, 294,942.72 and 71,901.12

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Solution

The fourth proportional to 196,628.16, 294,942.72 and 71,901.12 is: 107,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,628.16 : 294,942.72 = 71,901.12 : x
  2. Step 2: Convert to fraction form
    196,628.16/294,942.72 = 71,901.12/x
  3. Step 3: Cross multiply
    196,628.16x = 294,942.72 × 71,901.12
  4. Step 4: Simplify right side
    196,628.16x = 21,206,711,903.85
  5. Step 5: Solve for x
    x = 21,206,711,903.85/196,628.16
  6. Step 6: Final answer
    x = 107,851.86

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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.