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Finding the Fourth Proportional to 51,978.25, 71,729.93 and 28,104.86

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Solution

The fourth proportional to 51,978.25, 71,729.93 and 28,104.86 is: 38,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.25 : 71,729.93 = 28,104.86 : x
  2. Step 2: Convert to fraction form
    51,978.25/71,729.93 = 28,104.86/x
  3. Step 3: Cross multiply
    51,978.25x = 71,729.93 × 28,104.86
  4. Step 4: Simplify right side
    51,978.25x = 2,015,959,640.46
  5. Step 5: Solve for x
    x = 2,015,959,640.46/51,978.25
  6. Step 6: Final answer
    x = 38,784.68

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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.