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Finding the Fourth Proportional to 32,143.51, 44,352.77 and 20,198.40

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Solution

The fourth proportional to 32,143.51, 44,352.77 and 20,198.40 is: 27,870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.51 : 44,352.77 = 20,198.40 : x
  2. Step 2: Convert to fraction form
    32,143.51/44,352.77 = 20,198.40/x
  3. Step 3: Cross multiply
    32,143.51x = 44,352.77 × 20,198.40
  4. Step 4: Simplify right side
    32,143.51x = 895,854,989.57
  5. Step 5: Solve for x
    x = 895,854,989.57/32,143.51
  6. Step 6: Final answer
    x = 27,870.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.