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Finding the Fourth Proportional to 192,706.20, 289,059.30 and 74,381.40

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Solution

The fourth proportional to 192,706.20, 289,059.30 and 74,381.40 is: 111,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,706.20 : 289,059.30 = 74,381.40 : x
  2. Step 2: Convert to fraction form
    192,706.20/289,059.30 = 74,381.40/x
  3. Step 3: Cross multiply
    192,706.20x = 289,059.30 × 74,381.40
  4. Step 4: Simplify right side
    192,706.20x = 21,500,635,417.02
  5. Step 5: Solve for x
    x = 21,500,635,417.02/192,706.20
  6. Step 6: Final answer
    x = 111,572.10

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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.