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Finding the Fourth Proportional to 205,491.91, 308,262.77 and 72,344.92

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Solution

The fourth proportional to 205,491.91, 308,262.77 and 72,344.92 is: 108,526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,491.91 : 308,262.77 = 72,344.92 : x
  2. Step 2: Convert to fraction form
    205,491.91/308,262.77 = 72,344.92/x
  3. Step 3: Cross multiply
    205,491.91x = 308,262.77 × 72,344.92
  4. Step 4: Simplify right side
    205,491.91x = 22,301,245,434.63
  5. Step 5: Solve for x
    x = 22,301,245,434.63/205,491.91
  6. Step 6: Final answer
    x = 108,526.15

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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.