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Finding the Fourth Proportional to 440,068, 660,114.96 and 107,644

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Solution

The fourth proportional to 440,068, 660,114.96 and 107,644 is: 161,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,068 : 660,114.96 = 107,644 : x
  2. Step 2: Convert to fraction form
    440,068/660,114.96 = 107,644/x
  3. Step 3: Cross multiply
    440,068x = 660,114.96 × 107,644
  4. Step 4: Simplify right side
    440,068x = 71,057,414,754.24
  5. Step 5: Solve for x
    x = 71,057,414,754.24/440,068
  6. Step 6: Final answer
    x = 161,469.17

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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.