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Finding the Fourth Proportional to 179,685, 269,540.46 and 68,877

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Solution

The fourth proportional to 179,685, 269,540.46 and 68,877 is: 103,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,685 : 269,540.46 = 68,877 : x
  2. Step 2: Convert to fraction form
    179,685/269,540.46 = 68,877/x
  3. Step 3: Cross multiply
    179,685x = 269,540.46 × 68,877
  4. Step 4: Simplify right side
    179,685x = 18,565,138,263.42
  5. Step 5: Solve for x
    x = 18,565,138,263.42/179,685
  6. Step 6: Final answer
    x = 103,320.47

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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.