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Finding the Fourth Proportional to 213,818.20, 320,727.30 and 103,226.20

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Solution

The fourth proportional to 213,818.20, 320,727.30 and 103,226.20 is: 154,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,818.20 : 320,727.30 = 103,226.20 : x
  2. Step 2: Convert to fraction form
    213,818.20/320,727.30 = 103,226.20/x
  3. Step 3: Cross multiply
    213,818.20x = 320,727.30 × 103,226.20
  4. Step 4: Simplify right side
    213,818.20x = 33,107,460,415.26
  5. Step 5: Solve for x
    x = 33,107,460,415.26/213,818.20
  6. Step 6: Final answer
    x = 154,839.30

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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.