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Finding the Fourth Proportional to 143,341.30, 214,716.30 and 83,997.10

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Solution

The fourth proportional to 143,341.30, 214,716.30 and 83,997.10 is: 125,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,341.30 : 214,716.30 = 83,997.10 : x
  2. Step 2: Convert to fraction form
    143,341.30/214,716.30 = 83,997.10/x
  3. Step 3: Cross multiply
    143,341.30x = 214,716.30 × 83,997.10
  4. Step 4: Simplify right side
    143,341.30x = 18,035,546,522.73
  5. Step 5: Solve for x
    x = 18,035,546,522.73/143,341.30
  6. Step 6: Final answer
    x = 125,822.40

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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.