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Finding the Fourth Proportional to 139,876.94, 209,816.90 and 111,974.40

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Solution

The fourth proportional to 139,876.94, 209,816.90 and 111,974.40 is: 167,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,876.94 : 209,816.90 = 111,974.40 : x
  2. Step 2: Convert to fraction form
    139,876.94/209,816.90 = 111,974.40/x
  3. Step 3: Cross multiply
    139,876.94x = 209,816.90 × 111,974.40
  4. Step 4: Simplify right side
    139,876.94x = 23,494,121,487.36
  5. Step 5: Solve for x
    x = 23,494,121,487.36/139,876.94
  6. Step 6: Final answer
    x = 167,962.79

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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.