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Finding the Fourth Proportional to 196,479.69, 294,276.44 and 137,578.32

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Solution

The fourth proportional to 196,479.69, 294,276.44 and 137,578.32 is: 206,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,479.69 : 294,276.44 = 137,578.32 : x
  2. Step 2: Convert to fraction form
    196,479.69/294,276.44 = 137,578.32/x
  3. Step 3: Cross multiply
    196,479.69x = 294,276.44 × 137,578.32
  4. Step 4: Simplify right side
    196,479.69x = 40,486,057,542.89
  5. Step 5: Solve for x
    x = 40,486,057,542.89/196,479.69
  6. Step 6: Final answer
    x = 206,057.21

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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.