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Finding the Fourth Proportional to 321,114.72, 481,742.55 and 107,874.93

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Solution

The fourth proportional to 321,114.72, 481,742.55 and 107,874.93 is: 161,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,114.72 : 481,742.55 = 107,874.93 : x
  2. Step 2: Convert to fraction form
    321,114.72/481,742.55 = 107,874.93/x
  3. Step 3: Cross multiply
    321,114.72x = 481,742.55 × 107,874.93
  4. Step 4: Simplify right side
    321,114.72x = 51,967,943,859.27
  5. Step 5: Solve for x
    x = 51,967,943,859.27/321,114.72
  6. Step 6: Final answer
    x = 161,836.07

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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.