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Finding the Fourth Proportional to 128,516.82, 177,408.84 and 96,693.54

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Solution

The fourth proportional to 128,516.82, 177,408.84 and 96,693.54 is: 133,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,516.82 : 177,408.84 = 96,693.54 : x
  2. Step 2: Convert to fraction form
    128,516.82/177,408.84 = 96,693.54/x
  3. Step 3: Cross multiply
    128,516.82x = 177,408.84 × 96,693.54
  4. Step 4: Simplify right side
    128,516.82x = 17,154,288,766.89
  5. Step 5: Solve for x
    x = 17,154,288,766.89/128,516.82
  6. Step 6: Final answer
    x = 133,478.94

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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.