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Finding the Fourth Proportional to 100,408.48, 138,563.84 and 55,696.48

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Solution

The fourth proportional to 100,408.48, 138,563.84 and 55,696.48 is: 76,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,408.48 : 138,563.84 = 55,696.48 : x
  2. Step 2: Convert to fraction form
    100,408.48/138,563.84 = 55,696.48/x
  3. Step 3: Cross multiply
    100,408.48x = 138,563.84 × 55,696.48
  4. Step 4: Simplify right side
    100,408.48x = 7,717,518,143.28
  5. Step 5: Solve for x
    x = 7,717,518,143.28/100,408.48
  6. Step 6: Final answer
    x = 76,861.22

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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.