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Finding the Fourth Proportional to 51,198, 70,653.24 and 28,842

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Solution

The fourth proportional to 51,198, 70,653.24 and 28,842 is: 39,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,198 : 70,653.24 = 28,842 : x
  2. Step 2: Convert to fraction form
    51,198/70,653.24 = 28,842/x
  3. Step 3: Cross multiply
    51,198x = 70,653.24 × 28,842
  4. Step 4: Simplify right side
    51,198x = 2,037,780,748.08
  5. Step 5: Solve for x
    x = 2,037,780,748.08/51,198
  6. Step 6: Final answer
    x = 39,801.96

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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.