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Finding the Fourth Proportional to 128,076.86, 192,115.30 and 43,838.12

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Solution

The fourth proportional to 128,076.86, 192,115.30 and 43,838.12 is: 65,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,076.86 : 192,115.30 = 43,838.12 : x
  2. Step 2: Convert to fraction form
    128,076.86/192,115.30 = 43,838.12/x
  3. Step 3: Cross multiply
    128,076.86x = 192,115.30 × 43,838.12
  4. Step 4: Simplify right side
    128,076.86x = 8,421,973,575.24
  5. Step 5: Solve for x
    x = 8,421,973,575.24/128,076.86
  6. Step 6: Final answer
    x = 65,757.18

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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.