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Finding the Fourth Proportional to 101,943.50, 140,682.03 and 57,231.50

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Solution

The fourth proportional to 101,943.50, 140,682.03 and 57,231.50 is: 78,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,943.50 : 140,682.03 = 57,231.50 : x
  2. Step 2: Convert to fraction form
    101,943.50/140,682.03 = 57,231.50/x
  3. Step 3: Cross multiply
    101,943.50x = 140,682.03 × 57,231.50
  4. Step 4: Simplify right side
    101,943.50x = 8,051,443,599.95
  5. Step 5: Solve for x
    x = 8,051,443,599.95/101,943.50
  6. Step 6: Final answer
    x = 78,979.47

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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.