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Finding the Fourth Proportional to 218,921.44, 328,382.15 and 100,692.22

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Solution

The fourth proportional to 218,921.44, 328,382.15 and 100,692.22 is: 151,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,921.44 : 328,382.15 = 100,692.22 : x
  2. Step 2: Convert to fraction form
    218,921.44/328,382.15 = 100,692.22/x
  3. Step 3: Cross multiply
    218,921.44x = 328,382.15 × 100,692.22
  4. Step 4: Simplify right side
    218,921.44x = 33,065,526,049.96
  5. Step 5: Solve for x
    x = 33,065,526,049.96/218,921.44
  6. Step 6: Final answer
    x = 151,038.32

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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.