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Finding the Fourth Proportional to 101,941.31, 140,679.02 and 57,229.31

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Solution

The fourth proportional to 101,941.31, 140,679.02 and 57,229.31 is: 78,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,941.31 : 140,679.02 = 57,229.31 : x
  2. Step 2: Convert to fraction form
    101,941.31/140,679.02 = 57,229.31/x
  3. Step 3: Cross multiply
    101,941.31x = 140,679.02 × 57,229.31
  4. Step 4: Simplify right side
    101,941.31x = 8,050,963,311.63
  5. Step 5: Solve for x
    x = 8,050,963,311.63/101,941.31
  6. Step 6: Final answer
    x = 78,976.45

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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.