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Finding the Fourth Proportional to 100,722.06, 150,947.07 and 38,358.54

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Solution

The fourth proportional to 100,722.06, 150,947.07 and 38,358.54 is: 57,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,722.06 : 150,947.07 = 38,358.54 : x
  2. Step 2: Convert to fraction form
    100,722.06/150,947.07 = 38,358.54/x
  3. Step 3: Cross multiply
    100,722.06x = 150,947.07 × 38,358.54
  4. Step 4: Simplify right side
    100,722.06x = 5,790,109,222.48
  5. Step 5: Solve for x
    x = 5,790,109,222.48/100,722.06
  6. Step 6: Final answer
    x = 57,486.01

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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.