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Finding the Fourth Proportional to 36,420, 50,259.47 and 20,287.50

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Solution

The fourth proportional to 36,420, 50,259.47 and 20,287.50 is: 27,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,420 : 50,259.47 = 20,287.50 : x
  2. Step 2: Convert to fraction form
    36,420/50,259.47 = 20,287.50/x
  3. Step 3: Cross multiply
    36,420x = 50,259.47 × 20,287.50
  4. Step 4: Simplify right side
    36,420x = 1,019,638,896.19
  5. Step 5: Solve for x
    x = 1,019,638,896.19/36,420
  6. Step 6: Final answer
    x = 27,996.67

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Why These Related Problems?

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