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Finding the Fourth Proportional to 143,098.42, 214,560.11 and 68,241.46

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Solution

The fourth proportional to 143,098.42, 214,560.11 and 68,241.46 is: 102,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,098.42 : 214,560.11 = 68,241.46 : x
  2. Step 2: Convert to fraction form
    143,098.42/214,560.11 = 68,241.46/x
  3. Step 3: Cross multiply
    143,098.42x = 214,560.11 × 68,241.46
  4. Step 4: Simplify right side
    143,098.42x = 14,641,895,164.16
  5. Step 5: Solve for x
    x = 14,641,895,164.16/143,098.42
  6. Step 6: Final answer
    x = 102,320.45

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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.