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Finding the Fourth Proportional to 105,393.84, 158,067.48 and 30,497.64

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Solution

The fourth proportional to 105,393.84, 158,067.48 and 30,497.64 is: 45,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,393.84 : 158,067.48 = 30,497.64 : x
  2. Step 2: Convert to fraction form
    105,393.84/158,067.48 = 30,497.64/x
  3. Step 3: Cross multiply
    105,393.84x = 158,067.48 × 30,497.64
  4. Step 4: Simplify right side
    105,393.84x = 4,820,685,100.75
  5. Step 5: Solve for x
    x = 4,820,685,100.75/105,393.84
  6. Step 6: Final answer
    x = 45,739.72

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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.