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Finding the Fourth Proportional to 143,135.40, 214,443.90 and 120,844.20

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Solution

The fourth proportional to 143,135.40, 214,443.90 and 120,844.20 is: 181,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,135.40 : 214,443.90 = 120,844.20 : x
  2. Step 2: Convert to fraction form
    143,135.40/214,443.90 = 120,844.20/x
  3. Step 3: Cross multiply
    143,135.40x = 214,443.90 × 120,844.20
  4. Step 4: Simplify right side
    143,135.40x = 25,914,301,540.38
  5. Step 5: Solve for x
    x = 25,914,301,540.38/143,135.40
  6. Step 6: Final answer
    x = 181,047.47

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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.