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Finding the Fourth Proportional to 104,519.81, 156,805.76 and 30,647.81

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Solution

The fourth proportional to 104,519.81, 156,805.76 and 30,647.81 is: 45,979.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,519.81 : 156,805.76 = 30,647.81 : x
  2. Step 2: Convert to fraction form
    104,519.81/156,805.76 = 30,647.81/x
  3. Step 3: Cross multiply
    104,519.81x = 156,805.76 × 30,647.81
  4. Step 4: Simplify right side
    104,519.81x = 4,805,753,608.02
  5. Step 5: Solve for x
    x = 4,805,753,608.02/104,519.81
  6. Step 6: Final answer
    x = 45,979.36

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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.