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Finding the Fourth Proportional to 51,187.63, 76,732.85 and 17,886

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Solution

The fourth proportional to 51,187.63, 76,732.85 and 17,886 is: 26,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,187.63 : 76,732.85 = 17,886 : x
  2. Step 2: Convert to fraction form
    51,187.63/76,732.85 = 17,886/x
  3. Step 3: Cross multiply
    51,187.63x = 76,732.85 × 17,886
  4. Step 4: Simplify right side
    51,187.63x = 1,372,443,755.10
  5. Step 5: Solve for x
    x = 1,372,443,755.10/51,187.63
  6. Step 6: Final answer
    x = 26,812.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.