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Finding the Fourth Proportional to 43,425, 65,143.98 and 15,729.48

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Solution

The fourth proportional to 43,425, 65,143.98 and 15,729.48 is: 23,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,425 : 65,143.98 = 15,729.48 : x
  2. Step 2: Convert to fraction form
    43,425/65,143.98 = 15,729.48/x
  3. Step 3: Cross multiply
    43,425x = 65,143.98 × 15,729.48
  4. Step 4: Simplify right side
    43,425x = 1,024,680,930.53
  5. Step 5: Solve for x
    x = 1,024,680,930.53/43,425
  6. Step 6: Final answer
    x = 23,596.57

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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.