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Finding the Fourth Proportional to 196,614, 294,846 and 70,230.72

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Solution

The fourth proportional to 196,614, 294,846 and 70,230.72 is: 105,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,614 : 294,846 = 70,230.72 : x
  2. Step 2: Convert to fraction form
    196,614/294,846 = 70,230.72/x
  3. Step 3: Cross multiply
    196,614x = 294,846 × 70,230.72
  4. Step 4: Simplify right side
    196,614x = 20,707,246,869.12
  5. Step 5: Solve for x
    x = 20,707,246,869.12/196,614
  6. Step 6: Final answer
    x = 105,319.29

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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.