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Finding the Fourth Proportional to 105,659.97, 158,515.90 and 30,780.77

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Solution

The fourth proportional to 105,659.97, 158,515.90 and 30,780.77 is: 46,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,659.97 : 158,515.90 = 30,780.77 : x
  2. Step 2: Convert to fraction form
    105,659.97/158,515.90 = 30,780.77/x
  3. Step 3: Cross multiply
    105,659.97x = 158,515.90 × 30,780.77
  4. Step 4: Simplify right side
    105,659.97x = 4,879,240,589.71
  5. Step 5: Solve for x
    x = 4,879,240,589.71/105,659.97
  6. Step 6: Final answer
    x = 46,178.71

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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.