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Finding the Fourth Proportional to 100,609, 138,844.74 and 55,897

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Solution

The fourth proportional to 100,609, 138,844.74 and 55,897 is: 77,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,609 : 138,844.74 = 55,897 : x
  2. Step 2: Convert to fraction form
    100,609/138,844.74 = 55,897/x
  3. Step 3: Cross multiply
    100,609x = 138,844.74 × 55,897
  4. Step 4: Simplify right side
    100,609x = 7,761,004,431.78
  5. Step 5: Solve for x
    x = 7,761,004,431.78/100,609
  6. Step 6: Final answer
    x = 77,140.26

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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.