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Finding the Fourth Proportional to 68,065.86, 102,128.01 and 23,668.40

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Solution

The fourth proportional to 68,065.86, 102,128.01 and 23,668.40 is: 35,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,065.86 : 102,128.01 = 23,668.40 : x
  2. Step 2: Convert to fraction form
    68,065.86/102,128.01 = 23,668.40/x
  3. Step 3: Cross multiply
    68,065.86x = 102,128.01 × 23,668.40
  4. Step 4: Simplify right side
    68,065.86x = 2,417,206,591.88
  5. Step 5: Solve for x
    x = 2,417,206,591.88/68,065.86
  6. Step 6: Final answer
    x = 35,512.76

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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.