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Finding the Fourth Proportional to 128,804.50, 177,750.21 and 75,091.78

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Solution

The fourth proportional to 128,804.50, 177,750.21 and 75,091.78 is: 103,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,804.50 : 177,750.21 = 75,091.78 : x
  2. Step 2: Convert to fraction form
    128,804.50/177,750.21 = 75,091.78/x
  3. Step 3: Cross multiply
    128,804.50x = 177,750.21 × 75,091.78
  4. Step 4: Simplify right side
    128,804.50x = 13,347,579,664.27
  5. Step 5: Solve for x
    x = 13,347,579,664.27/128,804.50
  6. Step 6: Final answer
    x = 103,626.66

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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.