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Finding the Fourth Proportional to 78,732.72, 108,660.96 and 45,198

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Solution

The fourth proportional to 78,732.72, 108,660.96 and 45,198 is: 62,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,732.72 : 108,660.96 = 45,198 : x
  2. Step 2: Convert to fraction form
    78,732.72/108,660.96 = 45,198/x
  3. Step 3: Cross multiply
    78,732.72x = 108,660.96 × 45,198
  4. Step 4: Simplify right side
    78,732.72x = 4,911,258,070.08
  5. Step 5: Solve for x
    x = 4,911,258,070.08/78,732.72
  6. Step 6: Final answer
    x = 62,378.87

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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.