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Finding the Fourth Proportional to 143,461.89, 214,943.45 and 100,676.58

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Solution

The fourth proportional to 143,461.89, 214,943.45 and 100,676.58 is: 150,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,461.89 : 214,943.45 = 100,676.58 : x
  2. Step 2: Convert to fraction form
    143,461.89/214,943.45 = 100,676.58/x
  3. Step 3: Cross multiply
    143,461.89x = 214,943.45 × 100,676.58
  4. Step 4: Simplify right side
    143,461.89x = 21,639,771,439.40
  5. Step 5: Solve for x
    x = 21,639,771,439.40/143,461.89
  6. Step 6: Final answer
    x = 150,839.86

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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.