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Finding the Fourth Proportional to 128,268, 177,006.54 and 71,679.84

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Solution

The fourth proportional to 128,268, 177,006.54 and 71,679.84 is: 98,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,268 : 177,006.54 = 71,679.84 : x
  2. Step 2: Convert to fraction form
    128,268/177,006.54 = 71,679.84/x
  3. Step 3: Cross multiply
    128,268x = 177,006.54 × 71,679.84
  4. Step 4: Simplify right side
    128,268x = 12,687,800,466.15
  5. Step 5: Solve for x
    x = 12,687,800,466.15/128,268
  6. Step 6: Final answer
    x = 98,916.34

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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.