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Finding the Fourth Proportional to 51,899, 71,620.70 and 29,543

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Solution

The fourth proportional to 51,899, 71,620.70 and 29,543 is: 40,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,899 : 71,620.70 = 29,543 : x
  2. Step 2: Convert to fraction form
    51,899/71,620.70 = 29,543/x
  3. Step 3: Cross multiply
    51,899x = 71,620.70 × 29,543
  4. Step 4: Simplify right side
    51,899x = 2,115,890,340.10
  5. Step 5: Solve for x
    x = 2,115,890,340.10/51,899
  6. Step 6: Final answer
    x = 40,769.39

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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.