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Finding the Fourth Proportional to 67,784.50, 101,676.75 and 18,536.50

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Solution

The fourth proportional to 67,784.50, 101,676.75 and 18,536.50 is: 27,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,784.50 : 101,676.75 = 18,536.50 : x
  2. Step 2: Convert to fraction form
    67,784.50/101,676.75 = 18,536.50/x
  3. Step 3: Cross multiply
    67,784.50x = 101,676.75 × 18,536.50
  4. Step 4: Simplify right side
    67,784.50x = 1,884,731,076.38
  5. Step 5: Solve for x
    x = 1,884,731,076.38/67,784.50
  6. Step 6: Final answer
    x = 27,804.75

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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.