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Finding the Fourth Proportional to 123,294, 170,172.90 and 80,198.40

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Solution

The fourth proportional to 123,294, 170,172.90 and 80,198.40 is: 110,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,294 : 170,172.90 = 80,198.40 : x
  2. Step 2: Convert to fraction form
    123,294/170,172.90 = 80,198.40/x
  3. Step 3: Cross multiply
    123,294x = 170,172.90 × 80,198.40
  4. Step 4: Simplify right side
    123,294x = 13,647,594,303.36
  5. Step 5: Solve for x
    x = 13,647,594,303.36/123,294
  6. Step 6: Final answer
    x = 110,691.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.