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Finding the Fourth Proportional to 78,676.49, 108,487.64 and 53,138.52

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Solution

The fourth proportional to 78,676.49, 108,487.64 and 53,138.52 is: 73,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.49 : 108,487.64 = 53,138.52 : x
  2. Step 2: Convert to fraction form
    78,676.49/108,487.64 = 53,138.52/x
  3. Step 3: Cross multiply
    78,676.49x = 108,487.64 × 53,138.52
  4. Step 4: Simplify right side
    78,676.49x = 5,764,872,766.96
  5. Step 5: Solve for x
    x = 5,764,872,766.96/78,676.49
  6. Step 6: Final answer
    x = 73,273.13

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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.