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Finding the Fourth Proportional to 56,072, 77,380.48 and 36,234.56

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Solution

The fourth proportional to 56,072, 77,380.48 and 36,234.56 is: 50,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,072 : 77,380.48 = 36,234.56 : x
  2. Step 2: Convert to fraction form
    56,072/77,380.48 = 36,234.56/x
  3. Step 3: Cross multiply
    56,072x = 77,380.48 × 36,234.56
  4. Step 4: Simplify right side
    56,072x = 2,803,847,645.39
  5. Step 5: Solve for x
    x = 2,803,847,645.39/56,072
  6. Step 6: Final answer
    x = 50,004.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.