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Finding the Fourth Proportional to 192,461.78, 288,704.46 and 74,133.47

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Solution

The fourth proportional to 192,461.78, 288,704.46 and 74,133.47 is: 111,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,461.78 : 288,704.46 = 74,133.47 : x
  2. Step 2: Convert to fraction form
    192,461.78/288,704.46 = 74,133.47/x
  3. Step 3: Cross multiply
    192,461.78x = 288,704.46 × 74,133.47
  4. Step 4: Simplify right side
    192,461.78x = 21,402,663,424.28
  5. Step 5: Solve for x
    x = 21,402,663,424.28/192,461.78
  6. Step 6: Final answer
    x = 111,204.75

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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.