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Finding the Fourth Proportional to 209,010.78, 313,510.70 and 74,072.88

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Solution

The fourth proportional to 209,010.78, 313,510.70 and 74,072.88 is: 111,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,010.78 : 313,510.70 = 74,072.88 : x
  2. Step 2: Convert to fraction form
    209,010.78/313,510.70 = 74,072.88/x
  3. Step 3: Cross multiply
    209,010.78x = 313,510.70 × 74,072.88
  4. Step 4: Simplify right side
    209,010.78x = 23,222,640,645.00
  5. Step 5: Solve for x
    x = 23,222,640,645.00/209,010.78
  6. Step 6: Final answer
    x = 111,107.38

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1.5x scale

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.