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Finding the Fourth Proportional to 36,020, 49,713.36 and 21,116

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Solution

The fourth proportional to 36,020, 49,713.36 and 21,116 is: 29,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,020 : 49,713.36 = 21,116 : x
  2. Step 2: Convert to fraction form
    36,020/49,713.36 = 21,116/x
  3. Step 3: Cross multiply
    36,020x = 49,713.36 × 21,116
  4. Step 4: Simplify right side
    36,020x = 1,049,747,309.76
  5. Step 5: Solve for x
    x = 1,049,747,309.76/36,020
  6. Step 6: Final answer
    x = 29,143.46

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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.