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Finding the Fourth Proportional to 51,978.74, 71,730.75 and 28,105.43

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Solution

The fourth proportional to 51,978.74, 71,730.75 and 28,105.43 is: 38,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.74 : 71,730.75 = 28,105.43 : x
  2. Step 2: Convert to fraction form
    51,978.74/71,730.75 = 28,105.43/x
  3. Step 3: Cross multiply
    51,978.74x = 71,730.75 × 28,105.43
  4. Step 4: Simplify right side
    51,978.74x = 2,016,023,572.97
  5. Step 5: Solve for x
    x = 2,016,023,572.97/51,978.74
  6. Step 6: Final answer
    x = 38,785.54

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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.