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Finding the Fourth Proportional to 205,660.98, 308,299.23 and 72,466.74

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Solution

The fourth proportional to 205,660.98, 308,299.23 and 72,466.74 is: 108,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,660.98 : 308,299.23 = 72,466.74 : x
  2. Step 2: Convert to fraction form
    205,660.98/308,299.23 = 72,466.74/x
  3. Step 3: Cross multiply
    205,660.98x = 308,299.23 × 72,466.74
  4. Step 4: Simplify right side
    205,660.98x = 22,341,440,142.61
  5. Step 5: Solve for x
    x = 22,341,440,142.61/205,660.98
  6. Step 6: Final answer
    x = 108,632.37

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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.