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Finding the Fourth Proportional to 171,882.24, 257,830.26 and 81,878.69

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Solution

The fourth proportional to 171,882.24, 257,830.26 and 81,878.69 is: 122,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,882.24 : 257,830.26 = 81,878.69 : x
  2. Step 2: Convert to fraction form
    171,882.24/257,830.26 = 81,878.69/x
  3. Step 3: Cross multiply
    171,882.24x = 257,830.26 × 81,878.69
  4. Step 4: Simplify right side
    171,882.24x = 21,110,802,642.01
  5. Step 5: Solve for x
    x = 21,110,802,642.01/171,882.24
  6. Step 6: Final answer
    x = 122,821.31

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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.