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Finding the Fourth Proportional to 321,193.84, 481,834.98 and 107,978.28

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Solution

The fourth proportional to 321,193.84, 481,834.98 and 107,978.28 is: 161,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,193.84 : 481,834.98 = 107,978.28 : x
  2. Step 2: Convert to fraction form
    321,193.84/481,834.98 = 107,978.28/x
  3. Step 3: Cross multiply
    321,193.84x = 481,834.98 × 107,978.28
  4. Step 4: Simplify right side
    321,193.84x = 52,027,712,384.23
  5. Step 5: Solve for x
    x = 52,027,712,384.23/321,193.84
  6. Step 6: Final answer
    x = 161,982.29

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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.