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Finding the Fourth Proportional to 73,000.76, 109,484.40 and 20,413.94

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Solution

The fourth proportional to 73,000.76, 109,484.40 and 20,413.94 is: 30,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,000.76 : 109,484.40 = 20,413.94 : x
  2. Step 2: Convert to fraction form
    73,000.76/109,484.40 = 20,413.94/x
  3. Step 3: Cross multiply
    73,000.76x = 109,484.40 × 20,413.94
  4. Step 4: Simplify right side
    73,000.76x = 2,235,007,972.54
  5. Step 5: Solve for x
    x = 2,235,007,972.54/73,000.76
  6. Step 6: Final answer
    x = 30,616.23

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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.