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Finding the Fourth Proportional to 98,106.79, 135,383.37 and 55,664.41

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Solution

The fourth proportional to 98,106.79, 135,383.37 and 55,664.41 is: 76,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,106.79 : 135,383.37 = 55,664.41 : x
  2. Step 2: Convert to fraction form
    98,106.79/135,383.37 = 55,664.41/x
  3. Step 3: Cross multiply
    98,106.79x = 135,383.37 × 55,664.41
  4. Step 4: Simplify right side
    98,106.79x = 7,536,035,414.86
  5. Step 5: Solve for x
    x = 7,536,035,414.86/98,106.79
  6. Step 6: Final answer
    x = 76,814.62

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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.