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Finding the Fourth Proportional to 144,047.96, 198,762.41 and 80,385.60

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Solution

The fourth proportional to 144,047.96, 198,762.41 and 80,385.60 is: 110,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,047.96 : 198,762.41 = 80,385.60 : x
  2. Step 2: Convert to fraction form
    144,047.96/198,762.41 = 80,385.60/x
  3. Step 3: Cross multiply
    144,047.96x = 198,762.41 × 80,385.60
  4. Step 4: Simplify right side
    144,047.96x = 15,977,635,183.37
  5. Step 5: Solve for x
    x = 15,977,635,183.37/144,047.96
  6. Step 6: Final answer
    x = 110,918.86

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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.