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Finding the Fourth Proportional to 72,940.95, 109,413.86 and 20,346.03

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Solution

The fourth proportional to 72,940.95, 109,413.86 and 20,346.03 is: 30,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,940.95 : 109,413.86 = 20,346.03 : x
  2. Step 2: Convert to fraction form
    72,940.95/109,413.86 = 20,346.03/x
  3. Step 3: Cross multiply
    72,940.95x = 109,413.86 × 20,346.03
  4. Step 4: Simplify right side
    72,940.95x = 2,226,137,576.25
  5. Step 5: Solve for x
    x = 2,226,137,576.25/72,940.95
  6. Step 6: Final answer
    x = 30,519.72

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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.