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Finding the Fourth Proportional to 128,991.56, 178,024.73 and 78,004.64

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Solution

The fourth proportional to 128,991.56, 178,024.73 and 78,004.64 is: 107,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,991.56 : 178,024.73 = 78,004.64 : x
  2. Step 2: Convert to fraction form
    128,991.56/178,024.73 = 78,004.64/x
  3. Step 3: Cross multiply
    128,991.56x = 178,024.73 × 78,004.64
  4. Step 4: Simplify right side
    128,991.56x = 13,886,753,694.60
  5. Step 5: Solve for x
    x = 13,886,753,694.60/128,991.56
  6. Step 6: Final answer
    x = 107,656.30

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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.