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Finding the Fourth Proportional to 171,982.78, 258,075.68 and 65,456.44

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Solution

The fourth proportional to 171,982.78, 258,075.68 and 65,456.44 is: 98,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,982.78 : 258,075.68 = 65,456.44 : x
  2. Step 2: Convert to fraction form
    171,982.78/258,075.68 = 65,456.44/x
  3. Step 3: Cross multiply
    171,982.78x = 258,075.68 × 65,456.44
  4. Step 4: Simplify right side
    171,982.78x = 16,892,715,263.38
  5. Step 5: Solve for x
    x = 16,892,715,263.38/171,982.78
  6. Step 6: Final answer
    x = 98,223.29

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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.