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Finding the Fourth Proportional to 192,489, 288,728.64 and 52,243.98

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Solution

The fourth proportional to 192,489, 288,728.64 and 52,243.98 is: 78,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,489 : 288,728.64 = 52,243.98 : x
  2. Step 2: Convert to fraction form
    192,489/288,728.64 = 52,243.98/x
  3. Step 3: Cross multiply
    192,489x = 288,728.64 × 52,243.98
  4. Step 4: Simplify right side
    192,489x = 15,084,333,293.59
  5. Step 5: Solve for x
    x = 15,084,333,293.59/192,489
  6. Step 6: Final answer
    x = 78,364.65

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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.