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Finding the Fourth Proportional to 140,907.21, 194,447.43 and 77,243.64

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Solution

The fourth proportional to 140,907.21, 194,447.43 and 77,243.64 is: 106,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,907.21 : 194,447.43 = 77,243.64 : x
  2. Step 2: Convert to fraction form
    140,907.21/194,447.43 = 77,243.64/x
  3. Step 3: Cross multiply
    140,907.21x = 194,447.43 × 77,243.64
  4. Step 4: Simplify right side
    140,907.21x = 15,019,827,281.85
  5. Step 5: Solve for x
    x = 15,019,827,281.85/140,907.21
  6. Step 6: Final answer
    x = 106,593.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.