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Finding the Fourth Proportional to 36,216, 49,978.26 and 21,119.13

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Solution

The fourth proportional to 36,216, 49,978.26 and 21,119.13 is: 29,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,216 : 49,978.26 = 21,119.13 : x
  2. Step 2: Convert to fraction form
    36,216/49,978.26 = 21,119.13/x
  3. Step 3: Cross multiply
    36,216x = 49,978.26 × 21,119.13
  4. Step 4: Simplify right side
    36,216x = 1,055,497,370.11
  5. Step 5: Solve for x
    x = 1,055,497,370.11/36,216
  6. Step 6: Final answer
    x = 29,144.50

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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.