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Finding the Fourth Proportional to 196,358.48, 294,450.24 and 71,612

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Solution

The fourth proportional to 196,358.48, 294,450.24 and 71,612 is: 107,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,358.48 : 294,450.24 = 71,612 : x
  2. Step 2: Convert to fraction form
    196,358.48/294,450.24 = 71,612/x
  3. Step 3: Cross multiply
    196,358.48x = 294,450.24 × 71,612
  4. Step 4: Simplify right side
    196,358.48x = 21,086,170,586.88
  5. Step 5: Solve for x
    x = 21,086,170,586.88/196,358.48
  6. Step 6: Final answer
    x = 107,386.10

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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.