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Finding the Fourth Proportional to 101,996, 140,767.68 and 57,284

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Solution

The fourth proportional to 101,996, 140,767.68 and 57,284 is: 79,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,996 : 140,767.68 = 57,284 : x
  2. Step 2: Convert to fraction form
    101,996/140,767.68 = 57,284/x
  3. Step 3: Cross multiply
    101,996x = 140,767.68 × 57,284
  4. Step 4: Simplify right side
    101,996x = 8,063,735,781.12
  5. Step 5: Solve for x
    x = 8,063,735,781.12/101,996
  6. Step 6: Final answer
    x = 79,059.33

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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.