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Finding the Fourth Proportional to 321,215.16, 481,706.10 and 107,919.48

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Solution

The fourth proportional to 321,215.16, 481,706.10 and 107,919.48 is: 161,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,215.16 : 481,706.10 = 107,919.48 : x
  2. Step 2: Convert to fraction form
    321,215.16/481,706.10 = 107,919.48/x
  3. Step 3: Cross multiply
    321,215.16x = 481,706.10 × 107,919.48
  4. Step 4: Simplify right side
    321,215.16x = 51,985,471,824.83
  5. Step 5: Solve for x
    x = 51,985,471,824.83/321,215.16
  6. Step 6: Final answer
    x = 161,840.03

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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.