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Finding the Fourth Proportional to 142,343.44, 196,406 and 85,757.92

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Solution

The fourth proportional to 142,343.44, 196,406 and 85,757.92 is: 118,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,343.44 : 196,406 = 85,757.92 : x
  2. Step 2: Convert to fraction form
    142,343.44/196,406 = 85,757.92/x
  3. Step 3: Cross multiply
    142,343.44x = 196,406 × 85,757.92
  4. Step 4: Simplify right side
    142,343.44x = 16,843,370,035.52
  5. Step 5: Solve for x
    x = 16,843,370,035.52/142,343.44
  6. Step 6: Final answer
    x = 118,329.09

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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.