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Finding the Fourth Proportional to 218,647.20, 328,116.60 and 100,257.60

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Solution

The fourth proportional to 218,647.20, 328,116.60 and 100,257.60 is: 150,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,647.20 : 328,116.60 = 100,257.60 : x
  2. Step 2: Convert to fraction form
    218,647.20/328,116.60 = 100,257.60/x
  3. Step 3: Cross multiply
    218,647.20x = 328,116.60 × 100,257.60
  4. Step 4: Simplify right side
    218,647.20x = 32,896,182,836.16
  5. Step 5: Solve for x
    x = 32,896,182,836.16/218,647.20
  6. Step 6: Final answer
    x = 150,453.25

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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.