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Finding the Fourth Proportional to 101,980, 140,732.40 and 57,268

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Solution

The fourth proportional to 101,980, 140,732.40 and 57,268 is: 79,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980 : 140,732.40 = 57,268 : x
  2. Step 2: Convert to fraction form
    101,980/140,732.40 = 57,268/x
  3. Step 3: Cross multiply
    101,980x = 140,732.40 × 57,268
  4. Step 4: Simplify right side
    101,980x = 8,059,463,083.20
  5. Step 5: Solve for x
    x = 8,059,463,083.20/101,980
  6. Step 6: Final answer
    x = 79,029.84

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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.