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Finding the Fourth Proportional to 51,671, 77,486.82 and 30,616.98

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Solution

The fourth proportional to 51,671, 77,486.82 and 30,616.98 is: 45,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,671 : 77,486.82 = 30,616.98 : x
  2. Step 2: Convert to fraction form
    51,671/77,486.82 = 30,616.98/x
  3. Step 3: Cross multiply
    51,671x = 77,486.82 × 30,616.98
  4. Step 4: Simplify right side
    51,671x = 2,372,412,418.20
  5. Step 5: Solve for x
    x = 2,372,412,418.20/51,671
  6. Step 6: Final answer
    x = 45,913.81

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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.