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Finding the Fourth Proportional to 51,375.98, 70,891.68 and 28,712.06

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Solution

The fourth proportional to 51,375.98, 70,891.68 and 28,712.06 is: 39,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,375.98 : 70,891.68 = 28,712.06 : x
  2. Step 2: Convert to fraction form
    51,375.98/70,891.68 = 28,712.06/x
  3. Step 3: Cross multiply
    51,375.98x = 70,891.68 × 28,712.06
  4. Step 4: Simplify right side
    51,375.98x = 2,035,446,169.66
  5. Step 5: Solve for x
    x = 2,035,446,169.66/51,375.98
  6. Step 6: Final answer
    x = 39,618.63

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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.