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Finding the Fourth Proportional to 144,393.76, 199,269.60 and 80,731.54

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Solution

The fourth proportional to 144,393.76, 199,269.60 and 80,731.54 is: 111,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,393.76 : 199,269.60 = 80,731.54 : x
  2. Step 2: Convert to fraction form
    144,393.76/199,269.60 = 80,731.54/x
  3. Step 3: Cross multiply
    144,393.76x = 199,269.60 × 80,731.54
  4. Step 4: Simplify right side
    144,393.76x = 16,087,341,683.18
  5. Step 5: Solve for x
    x = 16,087,341,683.18/144,393.76
  6. Step 6: Final answer
    x = 111,413.00

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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.