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Finding the Fourth Proportional to 205,583.34, 308,491.65 and 81,011.82

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Solution

The fourth proportional to 205,583.34, 308,491.65 and 81,011.82 is: 121,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,583.34 : 308,491.65 = 81,011.82 : x
  2. Step 2: Convert to fraction form
    205,583.34/308,491.65 = 81,011.82/x
  3. Step 3: Cross multiply
    205,583.34x = 308,491.65 × 81,011.82
  4. Step 4: Simplify right side
    205,583.34x = 24,991,470,021.30
  5. Step 5: Solve for x
    x = 24,991,470,021.30/205,583.34
  6. Step 6: Final answer
    x = 121,563.69

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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.