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Finding the Fourth Proportional to 204,074.72, 306,111.64 and 54,315

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Solution

The fourth proportional to 204,074.72, 306,111.64 and 54,315 is: 81,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,074.72 : 306,111.64 = 54,315 : x
  2. Step 2: Convert to fraction form
    204,074.72/306,111.64 = 54,315/x
  3. Step 3: Cross multiply
    204,074.72x = 306,111.64 × 54,315
  4. Step 4: Simplify right side
    204,074.72x = 16,626,453,726.60
  5. Step 5: Solve for x
    x = 16,626,453,726.60/204,074.72
  6. Step 6: Final answer
    x = 81,472.38

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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.