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Finding the Fourth Proportional to 150,704.63, 207,972.38 and 83,636.63

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Solution

The fourth proportional to 150,704.63, 207,972.38 and 83,636.63 is: 115,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,704.63 : 207,972.38 = 83,636.63 : x
  2. Step 2: Convert to fraction form
    150,704.63/207,972.38 = 83,636.63/x
  3. Step 3: Cross multiply
    150,704.63x = 207,972.38 × 83,636.63
  4. Step 4: Simplify right side
    150,704.63x = 17,394,108,165.51
  5. Step 5: Solve for x
    x = 17,394,108,165.51/150,704.63
  6. Step 6: Final answer
    x = 115,418.54

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1.5x scale

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.