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Finding the Fourth Proportional to 150,687, 207,954.54 and 83,619

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Solution

The fourth proportional to 150,687, 207,954.54 and 83,619 is: 115,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,687 : 207,954.54 = 83,619 : x
  2. Step 2: Convert to fraction form
    150,687/207,954.54 = 83,619/x
  3. Step 3: Cross multiply
    150,687x = 207,954.54 × 83,619
  4. Step 4: Simplify right side
    150,687x = 17,388,950,680.26
  5. Step 5: Solve for x
    x = 17,388,950,680.26/150,687
  6. Step 6: Final answer
    x = 115,397.82

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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.