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Finding the Fourth Proportional to 105,813.79, 158,627.23 and 80,964.77

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Solution

The fourth proportional to 105,813.79, 158,627.23 and 80,964.77 is: 121,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,813.79 : 158,627.23 = 80,964.77 : x
  2. Step 2: Convert to fraction form
    105,813.79/158,627.23 = 80,964.77/x
  3. Step 3: Cross multiply
    105,813.79x = 158,627.23 × 80,964.77
  4. Step 4: Simplify right side
    105,813.79x = 12,843,216,197.14
  5. Step 5: Solve for x
    x = 12,843,216,197.14/105,813.79
  6. Step 6: Final answer
    x = 121,375.63

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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.