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Finding the Fourth Proportional to 80,322.93, 120,485.61 and 21,164.58

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Solution

The fourth proportional to 80,322.93, 120,485.61 and 21,164.58 is: 31,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,322.93 : 120,485.61 = 21,164.58 : x
  2. Step 2: Convert to fraction form
    80,322.93/120,485.61 = 21,164.58/x
  3. Step 3: Cross multiply
    80,322.93x = 120,485.61 × 21,164.58
  4. Step 4: Simplify right side
    80,322.93x = 2,550,027,331.69
  5. Step 5: Solve for x
    x = 2,550,027,331.69/80,322.93
  6. Step 6: Final answer
    x = 31,747.19

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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.