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Finding the Fourth Proportional to 100,359.26, 138,497.68 and 55,034.37

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Solution

The fourth proportional to 100,359.26, 138,497.68 and 55,034.37 is: 75,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,359.26 : 138,497.68 = 55,034.37 : x
  2. Step 2: Convert to fraction form
    100,359.26/138,497.68 = 55,034.37/x
  3. Step 3: Cross multiply
    100,359.26x = 138,497.68 × 55,034.37
  4. Step 4: Simplify right side
    100,359.26x = 7,622,132,089.75
  5. Step 5: Solve for x
    x = 7,622,132,089.75/100,359.26
  6. Step 6: Final answer
    x = 75,948.47

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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.