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Finding the Fourth Proportional to 172,722.81, 238,357.97 and 100,139.78

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Solution

The fourth proportional to 172,722.81, 238,357.97 and 100,139.78 is: 138,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,722.81 : 238,357.97 = 100,139.78 : x
  2. Step 2: Convert to fraction form
    172,722.81/238,357.97 = 100,139.78/x
  3. Step 3: Cross multiply
    172,722.81x = 238,357.97 × 100,139.78
  4. Step 4: Simplify right side
    172,722.81x = 23,869,112,984.56
  5. Step 5: Solve for x
    x = 23,869,112,984.56/172,722.81
  6. Step 6: Final answer
    x = 138,193.17

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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.