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Finding the Fourth Proportional to 138,271, 190,824.48 and 83,839

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Solution

The fourth proportional to 138,271, 190,824.48 and 83,839 is: 115,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,271 : 190,824.48 = 83,839 : x
  2. Step 2: Convert to fraction form
    138,271/190,824.48 = 83,839/x
  3. Step 3: Cross multiply
    138,271x = 190,824.48 × 83,839
  4. Step 4: Simplify right side
    138,271x = 15,998,533,578.72
  5. Step 5: Solve for x
    x = 15,998,533,578.72/138,271
  6. Step 6: Final answer
    x = 115,704.19

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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.