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Finding the Fourth Proportional to 43,405.46, 65,002 and 39,198.21

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Solution

The fourth proportional to 43,405.46, 65,002 and 39,198.21 is: 58,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,405.46 : 65,002 = 39,198.21 : x
  2. Step 2: Convert to fraction form
    43,405.46/65,002 = 39,198.21/x
  3. Step 3: Cross multiply
    43,405.46x = 65,002 × 39,198.21
  4. Step 4: Simplify right side
    43,405.46x = 2,547,962,046.42
  5. Step 5: Solve for x
    x = 2,547,962,046.42/43,405.46
  6. Step 6: Final answer
    x = 58,701.42

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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.