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Finding the Fourth Proportional to 204,448.70, 282,147.36 and 123,830.76

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Solution

The fourth proportional to 204,448.70, 282,147.36 and 123,830.76 is: 170,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,448.70 : 282,147.36 = 123,830.76 : x
  2. Step 2: Convert to fraction form
    204,448.70/282,147.36 = 123,830.76/x
  3. Step 3: Cross multiply
    204,448.70x = 282,147.36 × 123,830.76
  4. Step 4: Simplify right side
    204,448.70x = 34,938,522,020.79
  5. Step 5: Solve for x
    x = 34,938,522,020.79/204,448.70
  6. Step 6: Final answer
    x = 170,891.39

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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.