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Finding the Fourth Proportional to 137,679.89, 206,516.79 and 56,609.82

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Solution

The fourth proportional to 137,679.89, 206,516.79 and 56,609.82 is: 84,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,679.89 : 206,516.79 = 56,609.82 : x
  2. Step 2: Convert to fraction form
    137,679.89/206,516.79 = 56,609.82/x
  3. Step 3: Cross multiply
    137,679.89x = 206,516.79 × 56,609.82
  4. Step 4: Simplify right side
    137,679.89x = 11,690,878,308.88
  5. Step 5: Solve for x
    x = 11,690,878,308.88/137,679.89
  6. Step 6: Final answer
    x = 84,913.48

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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.