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Finding the Fourth Proportional to 139,897.14, 209,907.72 and 73,321.44

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Solution

The fourth proportional to 139,897.14, 209,907.72 and 73,321.44 is: 110,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,897.14 : 209,907.72 = 73,321.44 : x
  2. Step 2: Convert to fraction form
    139,897.14/209,907.72 = 73,321.44/x
  3. Step 3: Cross multiply
    139,897.14x = 209,907.72 × 73,321.44
  4. Step 4: Simplify right side
    139,897.14x = 15,390,736,297.52
  5. Step 5: Solve for x
    x = 15,390,736,297.52/139,897.14
  6. Step 6: Final answer
    x = 110,014.66

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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.