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Finding the Fourth Proportional to 139,952.80, 209,922.82 and 45,187.35

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Solution

The fourth proportional to 139,952.80, 209,922.82 and 45,187.35 is: 67,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,952.80 : 209,922.82 = 45,187.35 : x
  2. Step 2: Convert to fraction form
    139,952.80/209,922.82 = 45,187.35/x
  3. Step 3: Cross multiply
    139,952.80x = 209,922.82 × 45,187.35
  4. Step 4: Simplify right side
    139,952.80x = 9,485,855,940.33
  5. Step 5: Solve for x
    x = 9,485,855,940.33/139,952.80
  6. Step 6: Final answer
    x = 67,778.97

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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.