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Finding the Fourth Proportional to 150,509, 207,708.90 and 83,441

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Solution

The fourth proportional to 150,509, 207,708.90 and 83,441 is: 115,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,509 : 207,708.90 = 83,441 : x
  2. Step 2: Convert to fraction form
    150,509/207,708.90 = 83,441/x
  3. Step 3: Cross multiply
    150,509x = 207,708.90 × 83,441
  4. Step 4: Simplify right side
    150,509x = 17,331,438,324.90
  5. Step 5: Solve for x
    x = 17,331,438,324.90/150,509
  6. Step 6: Final answer
    x = 115,152.17

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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.