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Finding the Fourth Proportional to 77,811, 116,716.50 and 19,443

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Solution

The fourth proportional to 77,811, 116,716.50 and 19,443 is: 29,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,811 : 116,716.50 = 19,443 : x
  2. Step 2: Convert to fraction form
    77,811/116,716.50 = 19,443/x
  3. Step 3: Cross multiply
    77,811x = 116,716.50 × 19,443
  4. Step 4: Simplify right side
    77,811x = 2,269,318,909.50
  5. Step 5: Solve for x
    x = 2,269,318,909.50/77,811
  6. Step 6: Final answer
    x = 29,164.50

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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.