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Finding the Fourth Proportional to 171,092.88, 256,294.83 and 143,290.65

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Solution

The fourth proportional to 171,092.88, 256,294.83 and 143,290.65 is: 214,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,092.88 : 256,294.83 = 143,290.65 : x
  2. Step 2: Convert to fraction form
    171,092.88/256,294.83 = 143,290.65/x
  3. Step 3: Cross multiply
    171,092.88x = 256,294.83 × 143,290.65
  4. Step 4: Simplify right side
    171,092.88x = 36,724,652,782.34
  5. Step 5: Solve for x
    x = 36,724,652,782.34/171,092.88
  6. Step 6: Final answer
    x = 214,647.46

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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.