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Finding the Fourth Proportional to 51,641.92, 71,262.93 and 28,978.80

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Solution

The fourth proportional to 51,641.92, 71,262.93 and 28,978.80 is: 39,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,641.92 : 71,262.93 = 28,978.80 : x
  2. Step 2: Convert to fraction form
    51,641.92/71,262.93 = 28,978.80/x
  3. Step 3: Cross multiply
    51,641.92x = 71,262.93 × 28,978.80
  4. Step 4: Simplify right side
    51,641.92x = 2,065,114,195.88
  5. Step 5: Solve for x
    x = 2,065,114,195.88/51,641.92
  6. Step 6: Final answer
    x = 39,989.11

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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.