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Finding the Fourth Proportional to 55,422, 83,133 and 13,869

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Solution

The fourth proportional to 55,422, 83,133 and 13,869 is: 20,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,422 : 83,133 = 13,869 : x
  2. Step 2: Convert to fraction form
    55,422/83,133 = 13,869/x
  3. Step 3: Cross multiply
    55,422x = 83,133 × 13,869
  4. Step 4: Simplify right side
    55,422x = 1,152,971,577
  5. Step 5: Solve for x
    x = 1,152,971,577/55,422
  6. Step 6: Final answer
    x = 20,803.50

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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.