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Finding the Fourth Proportional to 142,006.44, 195,978.44 and 81,596.64

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Solution

The fourth proportional to 142,006.44, 195,978.44 and 81,596.64 is: 112,608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,006.44 : 195,978.44 = 81,596.64 : x
  2. Step 2: Convert to fraction form
    142,006.44/195,978.44 = 81,596.64/x
  3. Step 3: Cross multiply
    142,006.44x = 195,978.44 × 81,596.64
  4. Step 4: Simplify right side
    142,006.44x = 15,991,182,216.44
  5. Step 5: Solve for x
    x = 15,991,182,216.44/142,006.44
  6. Step 6: Final answer
    x = 112,608.85

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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.