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Finding the Fourth Proportional to 56,198, 77,553.96 and 31,049.84

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Solution

The fourth proportional to 56,198, 77,553.96 and 31,049.84 is: 42,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,198 : 77,553.96 = 31,049.84 : x
  2. Step 2: Convert to fraction form
    56,198/77,553.96 = 31,049.84/x
  3. Step 3: Cross multiply
    56,198x = 77,553.96 × 31,049.84
  4. Step 4: Simplify right side
    56,198x = 2,408,038,049.37
  5. Step 5: Solve for x
    x = 2,408,038,049.37/56,198
  6. Step 6: Final answer
    x = 42,849.18

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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.