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Finding the Fourth Proportional to 77,024.50, 115,556.22 and 21,620.50

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Solution

The fourth proportional to 77,024.50, 115,556.22 and 21,620.50 is: 32,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,024.50 : 115,556.22 = 21,620.50 : x
  2. Step 2: Convert to fraction form
    77,024.50/115,556.22 = 21,620.50/x
  3. Step 3: Cross multiply
    77,024.50x = 115,556.22 × 21,620.50
  4. Step 4: Simplify right side
    77,024.50x = 2,498,383,254.51
  5. Step 5: Solve for x
    x = 2,498,383,254.51/77,024.50
  6. Step 6: Final answer
    x = 32,436.22

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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.