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Finding the Fourth Proportional to 128,906.28, 193,351.62 and 76,648.32

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Solution

The fourth proportional to 128,906.28, 193,351.62 and 76,648.32 is: 114,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,906.28 : 193,351.62 = 76,648.32 : x
  2. Step 2: Convert to fraction form
    128,906.28/193,351.62 = 76,648.32/x
  3. Step 3: Cross multiply
    128,906.28x = 193,351.62 × 76,648.32
  4. Step 4: Simplify right side
    128,906.28x = 14,820,076,842.28
  5. Step 5: Solve for x
    x = 14,820,076,842.28/128,906.28
  6. Step 6: Final answer
    x = 114,967.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.