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Finding the Fourth Proportional to 139,422.09, 209,120.31 and 45,927.84

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Solution

The fourth proportional to 139,422.09, 209,120.31 and 45,927.84 is: 68,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,422.09 : 209,120.31 = 45,927.84 : x
  2. Step 2: Convert to fraction form
    139,422.09/209,120.31 = 45,927.84/x
  3. Step 3: Cross multiply
    139,422.09x = 209,120.31 × 45,927.84
  4. Step 4: Simplify right side
    139,422.09x = 9,604,444,138.43
  5. Step 5: Solve for x
    x = 9,604,444,138.43/139,422.09
  6. Step 6: Final answer
    x = 68,887.54

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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.