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Finding the Fourth Proportional to 45,309.82, 67,964.73 and 14,147.74

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Solution

The fourth proportional to 45,309.82, 67,964.73 and 14,147.74 is: 21,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,309.82 : 67,964.73 = 14,147.74 : x
  2. Step 2: Convert to fraction form
    45,309.82/67,964.73 = 14,147.74/x
  3. Step 3: Cross multiply
    45,309.82x = 67,964.73 × 14,147.74
  4. Step 4: Simplify right side
    45,309.82x = 961,547,329.21
  5. Step 5: Solve for x
    x = 961,547,329.21/45,309.82
  6. Step 6: Final answer
    x = 21,221.61

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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.