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Finding the Fourth Proportional to 204,717.73, 306,866.13 and 78,328.30

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Solution

The fourth proportional to 204,717.73, 306,866.13 and 78,328.30 is: 117,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,717.73 : 306,866.13 = 78,328.30 : x
  2. Step 2: Convert to fraction form
    204,717.73/306,866.13 = 78,328.30/x
  3. Step 3: Cross multiply
    204,717.73x = 306,866.13 × 78,328.30
  4. Step 4: Simplify right side
    204,717.73x = 24,036,302,290.48
  5. Step 5: Solve for x
    x = 24,036,302,290.48/204,717.73
  6. Step 6: Final answer
    x = 117,411.92

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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.