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Finding the Fourth Proportional to 205,076.70, 307,615.05 and 192,610.80

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Solution

The fourth proportional to 205,076.70, 307,615.05 and 192,610.80 is: 288,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,076.70 : 307,615.05 = 192,610.80 : x
  2. Step 2: Convert to fraction form
    205,076.70/307,615.05 = 192,610.80/x
  3. Step 3: Cross multiply
    205,076.70x = 307,615.05 × 192,610.80
  4. Step 4: Simplify right side
    205,076.70x = 59,249,980,872.54
  5. Step 5: Solve for x
    x = 59,249,980,872.54/205,076.70
  6. Step 6: Final answer
    x = 288,916.20

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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.