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Finding the Fourth Proportional to 37,978,471.36, 56,976,668.16 and 12,419,381.44

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Solution

The fourth proportional to 37,978,471.36, 56,976,668.16 and 12,419,381.44 is: 18,632,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978,471.36 : 56,976,668.16 = 12,419,381.44 : x
  2. Step 2: Convert to fraction form
    37,978,471.36/56,976,668.16 = 12,419,381.44/x
  3. Step 3: Cross multiply
    37,978,471.36x = 56,976,668.16 × 12,419,381.44
  4. Step 4: Simplify right side
    37,978,471.36x = 707,614,975,059,342.88
  5. Step 5: Solve for x
    x = 707,614,975,059,342.88/37,978,471.36
  6. Step 6: Final answer
    x = 18,632,002.55

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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.