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Finding the Fourth Proportional to 205,564.99, 308,349.12 and 72,414.76

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Solution

The fourth proportional to 205,564.99, 308,349.12 and 72,414.76 is: 108,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,564.99 : 308,349.12 = 72,414.76 : x
  2. Step 2: Convert to fraction form
    205,564.99/308,349.12 = 72,414.76/x
  3. Step 3: Cross multiply
    205,564.99x = 308,349.12 × 72,414.76
  4. Step 4: Simplify right side
    205,564.99x = 22,329,027,521.01
  5. Step 5: Solve for x
    x = 22,329,027,521.01/205,564.99
  6. Step 6: Final answer
    x = 108,622.72

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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.