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Finding the Fourth Proportional to 192,905.60, 289,401.60 and 74,566.40

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Solution

The fourth proportional to 192,905.60, 289,401.60 and 74,566.40 is: 111,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,905.60 : 289,401.60 = 74,566.40 : x
  2. Step 2: Convert to fraction form
    192,905.60/289,401.60 = 74,566.40/x
  3. Step 3: Cross multiply
    192,905.60x = 289,401.60 × 74,566.40
  4. Step 4: Simplify right side
    192,905.60x = 21,579,635,466.24
  5. Step 5: Solve for x
    x = 21,579,635,466.24/192,905.60
  6. Step 6: Final answer
    x = 111,866.30

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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.