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Finding the Fourth Proportional to 98,120.43, 135,402.44 and 55,676.43

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Solution

The fourth proportional to 98,120.43, 135,402.44 and 55,676.43 is: 76,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,120.43 : 135,402.44 = 55,676.43 : x
  2. Step 2: Convert to fraction form
    98,120.43/135,402.44 = 55,676.43/x
  3. Step 3: Cross multiply
    98,120.43x = 135,402.44 × 55,676.43
  4. Step 4: Simplify right side
    98,120.43x = 7,538,724,194.11
  5. Step 5: Solve for x
    x = 7,538,724,194.11/98,120.43
  6. Step 6: Final answer
    x = 76,831.34

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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.