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Finding the Fourth Proportional to 199,478.54, 298,959.29 and 81,012.26

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Solution

The fourth proportional to 199,478.54, 298,959.29 and 81,012.26 is: 121,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,478.54 : 298,959.29 = 81,012.26 : x
  2. Step 2: Convert to fraction form
    199,478.54/298,959.29 = 81,012.26/x
  3. Step 3: Cross multiply
    199,478.54x = 298,959.29 × 81,012.26
  4. Step 4: Simplify right side
    199,478.54x = 24,219,367,325.83
  5. Step 5: Solve for x
    x = 24,219,367,325.83/199,478.54
  6. Step 6: Final answer
    x = 121,413.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.