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Finding the Fourth Proportional to 139,872, 209,655.36 and 68,843.52

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Solution

The fourth proportional to 139,872, 209,655.36 and 68,843.52 is: 103,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,872 : 209,655.36 = 68,843.52 : x
  2. Step 2: Convert to fraction form
    139,872/209,655.36 = 68,843.52/x
  3. Step 3: Cross multiply
    139,872x = 209,655.36 × 68,843.52
  4. Step 4: Simplify right side
    139,872x = 14,433,412,969.27
  5. Step 5: Solve for x
    x = 14,433,412,969.27/139,872
  6. Step 6: Final answer
    x = 103,190.15

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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.