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Finding the Fourth Proportional to 139,415.78, 209,005.44 and 55,235.42

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Solution

The fourth proportional to 139,415.78, 209,005.44 and 55,235.42 is: 82,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,415.78 : 209,005.44 = 55,235.42 : x
  2. Step 2: Convert to fraction form
    139,415.78/209,005.44 = 55,235.42/x
  3. Step 3: Cross multiply
    139,415.78x = 209,005.44 × 55,235.42
  4. Step 4: Simplify right side
    139,415.78x = 11,544,502,947.64
  5. Step 5: Solve for x
    x = 11,544,502,947.64/139,415.78
  6. Step 6: Final answer
    x = 82,806.28

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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.