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Finding the Fourth Proportional to 192,099.60, 288,126.72 and 51,869.16

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Solution

The fourth proportional to 192,099.60, 288,126.72 and 51,869.16 is: 77,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,099.60 : 288,126.72 = 51,869.16 : x
  2. Step 2: Convert to fraction form
    192,099.60/288,126.72 = 51,869.16/x
  3. Step 3: Cross multiply
    192,099.60x = 288,126.72 × 51,869.16
  4. Step 4: Simplify right side
    192,099.60x = 14,944,890,939.96
  5. Step 5: Solve for x
    x = 14,944,890,939.96/192,099.60
  6. Step 6: Final answer
    x = 77,797.62

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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.