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Finding the Fourth Proportional to 205,830.48, 308,599.92 and 79,363.56

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Solution

The fourth proportional to 205,830.48, 308,599.92 and 79,363.56 is: 118,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,830.48 : 308,599.92 = 79,363.56 : x
  2. Step 2: Convert to fraction form
    205,830.48/308,599.92 = 79,363.56/x
  3. Step 3: Cross multiply
    205,830.48x = 308,599.92 × 79,363.56
  4. Step 4: Simplify right side
    205,830.48x = 24,491,588,266.92
  5. Step 5: Solve for x
    x = 24,491,588,266.92/205,830.48
  6. Step 6: Final answer
    x = 118,989.12

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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.