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Finding the Fourth Proportional to 321,186.40, 481,666.20 and 110,775.40

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Solution

The fourth proportional to 321,186.40, 481,666.20 and 110,775.40 is: 166,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,186.40 : 481,666.20 = 110,775.40 : x
  2. Step 2: Convert to fraction form
    321,186.40/481,666.20 = 110,775.40/x
  3. Step 3: Cross multiply
    321,186.40x = 481,666.20 × 110,775.40
  4. Step 4: Simplify right side
    321,186.40x = 53,356,765,971.48
  5. Step 5: Solve for x
    x = 53,356,765,971.48/321,186.40
  6. Step 6: Final answer
    x = 166,123.99

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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.