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Finding the Fourth Proportional to 196,645.80, 294,531.30 and 161,653.80

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Solution

The fourth proportional to 196,645.80, 294,531.30 and 161,653.80 is: 242,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,645.80 : 294,531.30 = 161,653.80 : x
  2. Step 2: Convert to fraction form
    196,645.80/294,531.30 = 161,653.80/x
  3. Step 3: Cross multiply
    196,645.80x = 294,531.30 × 161,653.80
  4. Step 4: Simplify right side
    196,645.80x = 47,612,103,863.94
  5. Step 5: Solve for x
    x = 47,612,103,863.94/196,645.80
  6. Step 6: Final answer
    x = 242,121.13

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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.