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Finding the Fourth Proportional to 68,676.40, 102,820.02 and 43,654.24

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Solution

The fourth proportional to 68,676.40, 102,820.02 and 43,654.24 is: 65,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,676.40 : 102,820.02 = 43,654.24 : x
  2. Step 2: Convert to fraction form
    68,676.40/102,820.02 = 43,654.24/x
  3. Step 3: Cross multiply
    68,676.40x = 102,820.02 × 43,654.24
  4. Step 4: Simplify right side
    68,676.40x = 4,488,529,829.88
  5. Step 5: Solve for x
    x = 4,488,529,829.88/68,676.40
  6. Step 6: Final answer
    x = 65,357.67

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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.