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Finding the Fourth Proportional to 77,351.82, 116,027.82 and 21,192.41

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Solution

The fourth proportional to 77,351.82, 116,027.82 and 21,192.41 is: 31,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,351.82 : 116,027.82 = 21,192.41 : x
  2. Step 2: Convert to fraction form
    77,351.82/116,027.82 = 21,192.41/x
  3. Step 3: Cross multiply
    77,351.82x = 116,027.82 × 21,192.41
  4. Step 4: Simplify right side
    77,351.82x = 2,458,908,552.71
  5. Step 5: Solve for x
    x = 2,458,908,552.71/77,351.82
  6. Step 6: Final answer
    x = 31,788.63

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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.