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Finding the Fourth Proportional to 69,784.49, 96,311.78 and 67,884.62

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Solution

The fourth proportional to 69,784.49, 96,311.78 and 67,884.62 is: 93,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,784.49 : 96,311.78 = 67,884.62 : x
  2. Step 2: Convert to fraction form
    69,784.49/96,311.78 = 67,884.62/x
  3. Step 3: Cross multiply
    69,784.49x = 96,311.78 × 67,884.62
  4. Step 4: Simplify right side
    69,784.49x = 6,538,087,765.84
  5. Step 5: Solve for x
    x = 6,538,087,765.84/69,784.49
  6. Step 6: Final answer
    x = 93,689.70

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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.