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Finding the Fourth Proportional to 54,413.10, 81,510.30 and 36,698.40

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Solution

The fourth proportional to 54,413.10, 81,510.30 and 36,698.40 is: 54,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,413.10 : 81,510.30 = 36,698.40 : x
  2. Step 2: Convert to fraction form
    54,413.10/81,510.30 = 36,698.40/x
  3. Step 3: Cross multiply
    54,413.10x = 81,510.30 × 36,698.40
  4. Step 4: Simplify right side
    54,413.10x = 2,991,297,593.52
  5. Step 5: Solve for x
    x = 2,991,297,593.52/54,413.10
  6. Step 6: Final answer
    x = 54,973.85

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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.