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Finding the Fourth Proportional to 192,321, 288,448.02 and 52,046.82

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Solution

The fourth proportional to 192,321, 288,448.02 and 52,046.82 is: 78,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,321 : 288,448.02 = 52,046.82 : x
  2. Step 2: Convert to fraction form
    192,321/288,448.02 = 52,046.82/x
  3. Step 3: Cross multiply
    192,321x = 288,448.02 × 52,046.82
  4. Step 4: Simplify right side
    192,321x = 15,012,802,176.30
  5. Step 5: Solve for x
    x = 15,012,802,176.30/192,321
  6. Step 6: Final answer
    x = 78,061.17

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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.