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Finding the Fourth Proportional to 100,589, 138,797.36 and 58,139.32

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Solution

The fourth proportional to 100,589, 138,797.36 and 58,139.32 is: 80,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,589 : 138,797.36 = 58,139.32 : x
  2. Step 2: Convert to fraction form
    100,589/138,797.36 = 58,139.32/x
  3. Step 3: Cross multiply
    100,589x = 138,797.36 × 58,139.32
  4. Step 4: Simplify right side
    100,589x = 8,069,584,128.20
  5. Step 5: Solve for x
    x = 8,069,584,128.20/100,589
  6. Step 6: Final answer
    x = 80,223.33

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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.