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Finding the Fourth Proportional to 150,705.88, 207,974.10 and 83,637.88

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Solution

The fourth proportional to 150,705.88, 207,974.10 and 83,637.88 is: 115,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,705.88 : 207,974.10 = 83,637.88 : x
  2. Step 2: Convert to fraction form
    150,705.88/207,974.10 = 83,637.88/x
  3. Step 3: Cross multiply
    150,705.88x = 207,974.10 × 83,637.88
  4. Step 4: Simplify right side
    150,705.88x = 17,394,512,818.91
  5. Step 5: Solve for x
    x = 17,394,512,818.91/150,705.88
  6. Step 6: Final answer
    x = 115,420.27

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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.