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Finding the Fourth Proportional to 204,492, 306,865.48 and 78,143.52

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Solution

The fourth proportional to 204,492, 306,865.48 and 78,143.52 is: 117,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,492 : 306,865.48 = 78,143.52 : x
  2. Step 2: Convert to fraction form
    204,492/306,865.48 = 78,143.52/x
  3. Step 3: Cross multiply
    204,492x = 306,865.48 × 78,143.52
  4. Step 4: Simplify right side
    204,492x = 23,979,548,773.69
  5. Step 5: Solve for x
    x = 23,979,548,773.69/204,492
  6. Step 6: Final answer
    x = 117,263.99

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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.