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Finding the Fourth Proportional to 139,907.32, 209,912.82 and 65,067.64

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Solution

The fourth proportional to 139,907.32, 209,912.82 and 65,067.64 is: 97,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,907.32 : 209,912.82 = 65,067.64 : x
  2. Step 2: Convert to fraction form
    139,907.32/209,912.82 = 65,067.64/x
  3. Step 3: Cross multiply
    139,907.32x = 209,912.82 × 65,067.64
  4. Step 4: Simplify right side
    139,907.32x = 13,658,531,803.14
  5. Step 5: Solve for x
    x = 13,658,531,803.14/139,907.32
  6. Step 6: Final answer
    x = 97,625.57

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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.