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Finding the Fourth Proportional to 77,491.70, 116,222.24 and 21,317.32

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Solution

The fourth proportional to 77,491.70, 116,222.24 and 21,317.32 is: 31,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,491.70 : 116,222.24 = 21,317.32 : x
  2. Step 2: Convert to fraction form
    77,491.70/116,222.24 = 21,317.32/x
  3. Step 3: Cross multiply
    77,491.70x = 116,222.24 × 21,317.32
  4. Step 4: Simplify right side
    77,491.70x = 2,477,546,100.09
  5. Step 5: Solve for x
    x = 2,477,546,100.09/77,491.70
  6. Step 6: Final answer
    x = 31,971.76

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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.