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Finding the Fourth Proportional to 45,676.92, 68,514.63 and 13,656.07

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Solution

The fourth proportional to 45,676.92, 68,514.63 and 13,656.07 is: 20,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,676.92 : 68,514.63 = 13,656.07 : x
  2. Step 2: Convert to fraction form
    45,676.92/68,514.63 = 13,656.07/x
  3. Step 3: Cross multiply
    45,676.92x = 68,514.63 × 13,656.07
  4. Step 4: Simplify right side
    45,676.92x = 935,640,627.17
  5. Step 5: Solve for x
    x = 935,640,627.17/45,676.92
  6. Step 6: Final answer
    x = 20,483.88

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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.