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Finding the Fourth Proportional to 134,694.84, 185,919.66 and 78,120.12

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Solution

The fourth proportional to 134,694.84, 185,919.66 and 78,120.12 is: 107,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,694.84 : 185,919.66 = 78,120.12 : x
  2. Step 2: Convert to fraction form
    134,694.84/185,919.66 = 78,120.12/x
  3. Step 3: Cross multiply
    134,694.84x = 185,919.66 × 78,120.12
  4. Step 4: Simplify right side
    134,694.84x = 14,524,066,149.56
  5. Step 5: Solve for x
    x = 14,524,066,149.56/134,694.84
  6. Step 6: Final answer
    x = 107,829.42

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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.