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Finding the Fourth Proportional to 51,651, 71,278.38 and 28,099

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Solution

The fourth proportional to 51,651, 71,278.38 and 28,099 is: 38,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,651 : 71,278.38 = 28,099 : x
  2. Step 2: Convert to fraction form
    51,651/71,278.38 = 28,099/x
  3. Step 3: Cross multiply
    51,651x = 71,278.38 × 28,099
  4. Step 4: Simplify right side
    51,651x = 2,002,851,199.62
  5. Step 5: Solve for x
    x = 2,002,851,199.62/51,651
  6. Step 6: Final answer
    x = 38,776.62

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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.