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Finding the Fourth Proportional to 36,215, 54,327.36 and 15,443.36

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Solution

The fourth proportional to 36,215, 54,327.36 and 15,443.36 is: 23,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,215 : 54,327.36 = 15,443.36 : x
  2. Step 2: Convert to fraction form
    36,215/54,327.36 = 15,443.36/x
  3. Step 3: Cross multiply
    36,215x = 54,327.36 × 15,443.36
  4. Step 4: Simplify right side
    36,215x = 838,996,978.33
  5. Step 5: Solve for x
    x = 838,996,978.33/36,215
  6. Step 6: Final answer
    x = 23,167.11

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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.