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Finding the Fourth Proportional to 51,229, 70,698.18 and 28,873

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Solution

The fourth proportional to 51,229, 70,698.18 and 28,873 is: 39,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,229 : 70,698.18 = 28,873 : x
  2. Step 2: Convert to fraction form
    51,229/70,698.18 = 28,873/x
  3. Step 3: Cross multiply
    51,229x = 70,698.18 × 28,873
  4. Step 4: Simplify right side
    51,229x = 2,041,268,551.14
  5. Step 5: Solve for x
    x = 2,041,268,551.14/51,229
  6. Step 6: Final answer
    x = 39,845.96

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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.