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Finding the Fourth Proportional to 43,426.36, 65,142.06 and 12,259

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Solution

The fourth proportional to 43,426.36, 65,142.06 and 12,259 is: 18,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,426.36 : 65,142.06 = 12,259 : x
  2. Step 2: Convert to fraction form
    43,426.36/65,142.06 = 12,259/x
  3. Step 3: Cross multiply
    43,426.36x = 65,142.06 × 12,259
  4. Step 4: Simplify right side
    43,426.36x = 798,576,513.54
  5. Step 5: Solve for x
    x = 798,576,513.54/43,426.36
  6. Step 6: Final answer
    x = 18,389.21

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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.