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Finding the Fourth Proportional to 51,640.62, 71,257.20 and 28,978.74

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Solution

The fourth proportional to 51,640.62, 71,257.20 and 28,978.74 is: 39,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,640.62 : 71,257.20 = 28,978.74 : x
  2. Step 2: Convert to fraction form
    51,640.62/71,257.20 = 28,978.74/x
  3. Step 3: Cross multiply
    51,640.62x = 71,257.20 × 28,978.74
  4. Step 4: Simplify right side
    51,640.62x = 2,064,943,871.93
  5. Step 5: Solve for x
    x = 2,064,943,871.93/51,640.62
  6. Step 6: Final answer
    x = 39,986.81

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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.