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Finding the Fourth Proportional to 172,866.95, 259,297.84 and 105,418.80

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Solution

The fourth proportional to 172,866.95, 259,297.84 and 105,418.80 is: 158,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,866.95 : 259,297.84 = 105,418.80 : x
  2. Step 2: Convert to fraction form
    172,866.95/259,297.84 = 105,418.80/x
  3. Step 3: Cross multiply
    172,866.95x = 259,297.84 × 105,418.80
  4. Step 4: Simplify right side
    172,866.95x = 27,334,867,135.39
  5. Step 5: Solve for x
    x = 27,334,867,135.39/172,866.95
  6. Step 6: Final answer
    x = 158,126.62

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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.