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Finding the Fourth Proportional to 100,615, 138,853.02 and 55,903

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Solution

The fourth proportional to 100,615, 138,853.02 and 55,903 is: 77,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,615 : 138,853.02 = 55,903 : x
  2. Step 2: Convert to fraction form
    100,615/138,853.02 = 55,903/x
  3. Step 3: Cross multiply
    100,615x = 138,853.02 × 55,903
  4. Step 4: Simplify right side
    100,615x = 7,762,300,377.06
  5. Step 5: Solve for x
    x = 7,762,300,377.06/100,615
  6. Step 6: Final answer
    x = 77,148.54

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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.