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Finding the Fourth Proportional to 39,870.80, 59,843.25 and 20,163.50

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Solution

The fourth proportional to 39,870.80, 59,843.25 and 20,163.50 is: 30,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,870.80 : 59,843.25 = 20,163.50 : x
  2. Step 2: Convert to fraction form
    39,870.80/59,843.25 = 20,163.50/x
  3. Step 3: Cross multiply
    39,870.80x = 59,843.25 × 20,163.50
  4. Step 4: Simplify right side
    39,870.80x = 1,206,649,072.16
  5. Step 5: Solve for x
    x = 1,206,649,072.16/39,870.80
  6. Step 6: Final answer
    x = 30,263.98

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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.