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Finding the Fourth Proportional to 105,808.74, 145,986.48 and 68,104.86

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Solution

The fourth proportional to 105,808.74, 145,986.48 and 68,104.86 is: 93,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,808.74 : 145,986.48 = 68,104.86 : x
  2. Step 2: Convert to fraction form
    105,808.74/145,986.48 = 68,104.86/x
  3. Step 3: Cross multiply
    105,808.74x = 145,986.48 × 68,104.86
  4. Step 4: Simplify right side
    105,808.74x = 9,942,388,782.29
  5. Step 5: Solve for x
    x = 9,942,388,782.29/105,808.74
  6. Step 6: Final answer
    x = 93,965.67

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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.