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Finding the Fourth Proportional to 32,143.98, 44,353.40 and 20,198.86

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Solution

The fourth proportional to 32,143.98, 44,353.40 and 20,198.86 is: 27,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.98 : 44,353.40 = 20,198.86 : x
  2. Step 2: Convert to fraction form
    32,143.98/44,353.40 = 20,198.86/x
  3. Step 3: Cross multiply
    32,143.98x = 44,353.40 × 20,198.86
  4. Step 4: Simplify right side
    32,143.98x = 895,888,117.12
  5. Step 5: Solve for x
    x = 895,888,117.12/32,143.98
  6. Step 6: Final answer
    x = 27,871.10

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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.