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Finding the Fourth Proportional to 192,374.80, 288,576.70 and 57,428.20

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Solution

The fourth proportional to 192,374.80, 288,576.70 and 57,428.20 is: 86,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,374.80 : 288,576.70 = 57,428.20 : x
  2. Step 2: Convert to fraction form
    192,374.80/288,576.70 = 57,428.20/x
  3. Step 3: Cross multiply
    192,374.80x = 288,576.70 × 57,428.20
  4. Step 4: Simplify right side
    192,374.80x = 16,572,440,442.94
  5. Step 5: Solve for x
    x = 16,572,440,442.94/192,374.80
  6. Step 6: Final answer
    x = 86,146.63

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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.