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Finding the Fourth Proportional to 138,636.03, 207,954.10 and 33,455

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Solution

The fourth proportional to 138,636.03, 207,954.10 and 33,455 is: 50,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,636.03 : 207,954.10 = 33,455 : x
  2. Step 2: Convert to fraction form
    138,636.03/207,954.10 = 33,455/x
  3. Step 3: Cross multiply
    138,636.03x = 207,954.10 × 33,455
  4. Step 4: Simplify right side
    138,636.03x = 6,957,104,415.50
  5. Step 5: Solve for x
    x = 6,957,104,415.50/138,636.03
  6. Step 6: Final answer
    x = 50,182.51

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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.