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Finding the Fourth Proportional to 175,206.78, 262,849.05 and 81,661.50

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Solution

The fourth proportional to 175,206.78, 262,849.05 and 81,661.50 is: 122,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,206.78 : 262,849.05 = 81,661.50 : x
  2. Step 2: Convert to fraction form
    175,206.78/262,849.05 = 81,661.50/x
  3. Step 3: Cross multiply
    175,206.78x = 262,849.05 × 81,661.50
  4. Step 4: Simplify right side
    175,206.78x = 21,464,647,696.58
  5. Step 5: Solve for x
    x = 21,464,647,696.58/175,206.78
  6. Step 6: Final answer
    x = 122,510.37

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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.