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Finding the Fourth Proportional to 139,640.80, 209,460.90 and 50,858.02

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Solution

The fourth proportional to 139,640.80, 209,460.90 and 50,858.02 is: 76,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,640.80 : 209,460.90 = 50,858.02 : x
  2. Step 2: Convert to fraction form
    139,640.80/209,460.90 = 50,858.02/x
  3. Step 3: Cross multiply
    139,640.80x = 209,460.90 × 50,858.02
  4. Step 4: Simplify right side
    139,640.80x = 10,652,766,641.42
  5. Step 5: Solve for x
    x = 10,652,766,641.42/139,640.80
  6. Step 6: Final answer
    x = 76,286.92

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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.