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Finding the Fourth Proportional to 172,997.80, 238,742.87 and 100,395.09

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Solution

The fourth proportional to 172,997.80, 238,742.87 and 100,395.09 is: 138,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,997.80 : 238,742.87 = 100,395.09 : x
  2. Step 2: Convert to fraction form
    172,997.80/238,742.87 = 100,395.09/x
  3. Step 3: Cross multiply
    172,997.80x = 238,742.87 × 100,395.09
  4. Step 4: Simplify right side
    172,997.80x = 23,968,611,920.51
  5. Step 5: Solve for x
    x = 23,968,611,920.51/172,997.80
  6. Step 6: Final answer
    x = 138,548.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.