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Finding the Fourth Proportional to 139,872.80, 209,871.21 and 73,297.10

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Solution

The fourth proportional to 139,872.80, 209,871.21 and 73,297.10 is: 109,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,872.80 : 209,871.21 = 73,297.10 : x
  2. Step 2: Convert to fraction form
    139,872.80/209,871.21 = 73,297.10/x
  3. Step 3: Cross multiply
    139,872.80x = 209,871.21 × 73,297.10
  4. Step 4: Simplify right side
    139,872.80x = 15,382,951,066.49
  5. Step 5: Solve for x
    x = 15,382,951,066.49/139,872.80
  6. Step 6: Final answer
    x = 109,978.14

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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.