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Finding the Fourth Proportional to 192,861.40, 289,335.72 and 104,113

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Solution

The fourth proportional to 192,861.40, 289,335.72 and 104,113 is: 156,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,861.40 : 289,335.72 = 104,113 : x
  2. Step 2: Convert to fraction form
    192,861.40/289,335.72 = 104,113/x
  3. Step 3: Cross multiply
    192,861.40x = 289,335.72 × 104,113
  4. Step 4: Simplify right side
    192,861.40x = 30,123,609,816.36
  5. Step 5: Solve for x
    x = 30,123,609,816.36/192,861.40
  6. Step 6: Final answer
    x = 156,193.05

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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.