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Finding the Fourth Proportional to 128,406.30, 177,201.09 and 71,814

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Solution

The fourth proportional to 128,406.30, 177,201.09 and 71,814 is: 99,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,406.30 : 177,201.09 = 71,814 : x
  2. Step 2: Convert to fraction form
    128,406.30/177,201.09 = 71,814/x
  3. Step 3: Cross multiply
    128,406.30x = 177,201.09 × 71,814
  4. Step 4: Simplify right side
    128,406.30x = 12,725,519,077.26
  5. Step 5: Solve for x
    x = 12,725,519,077.26/128,406.30
  6. Step 6: Final answer
    x = 99,103.54

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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.