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Finding the Fourth Proportional to 73,208.94, 109,814.13 and 20,619.42

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Solution

The fourth proportional to 73,208.94, 109,814.13 and 20,619.42 is: 30,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,208.94 : 109,814.13 = 20,619.42 : x
  2. Step 2: Convert to fraction form
    73,208.94/109,814.13 = 20,619.42/x
  3. Step 3: Cross multiply
    73,208.94x = 109,814.13 × 20,619.42
  4. Step 4: Simplify right side
    73,208.94x = 2,264,303,668.40
  5. Step 5: Solve for x
    x = 2,264,303,668.40/73,208.94
  6. Step 6: Final answer
    x = 30,929.33

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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.