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Finding the Fourth Proportional to 69,539.66, 95,951.90 and 40,864

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Solution

The fourth proportional to 69,539.66, 95,951.90 and 40,864 is: 56,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,539.66 : 95,951.90 = 40,864 : x
  2. Step 2: Convert to fraction form
    69,539.66/95,951.90 = 40,864/x
  3. Step 3: Cross multiply
    69,539.66x = 95,951.90 × 40,864
  4. Step 4: Simplify right side
    69,539.66x = 3,920,978,441.60
  5. Step 5: Solve for x
    x = 3,920,978,441.60/69,539.66
  6. Step 6: Final answer
    x = 56,384.78

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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.