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Finding the Fourth Proportional to 87,461.91, 120,676.02 and 49,214

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Solution

The fourth proportional to 87,461.91, 120,676.02 and 49,214 is: 67,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,461.91 : 120,676.02 = 49,214 : x
  2. Step 2: Convert to fraction form
    87,461.91/120,676.02 = 49,214/x
  3. Step 3: Cross multiply
    87,461.91x = 120,676.02 × 49,214
  4. Step 4: Simplify right side
    87,461.91x = 5,938,949,648.28
  5. Step 5: Solve for x
    x = 5,938,949,648.28/87,461.91
  6. Step 6: Final answer
    x = 67,903.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.