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Finding the Fourth Proportional to 51,291, 76,940.82 and 14,355

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Solution

The fourth proportional to 51,291, 76,940.82 and 14,355 is: 21,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,291 : 76,940.82 = 14,355 : x
  2. Step 2: Convert to fraction form
    51,291/76,940.82 = 14,355/x
  3. Step 3: Cross multiply
    51,291x = 76,940.82 × 14,355
  4. Step 4: Simplify right side
    51,291x = 1,104,485,471.10
  5. Step 5: Solve for x
    x = 1,104,485,471.10/51,291
  6. Step 6: Final answer
    x = 21,533.71

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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.