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Finding the Fourth Proportional to 204,079.60, 306,039.30 and 77,652.70

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Solution

The fourth proportional to 204,079.60, 306,039.30 and 77,652.70 is: 116,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,079.60 : 306,039.30 = 77,652.70 : x
  2. Step 2: Convert to fraction form
    204,079.60/306,039.30 = 77,652.70/x
  3. Step 3: Cross multiply
    204,079.60x = 306,039.30 × 77,652.70
  4. Step 4: Simplify right side
    204,079.60x = 23,764,777,951.11
  5. Step 5: Solve for x
    x = 23,764,777,951.11/204,079.60
  6. Step 6: Final answer
    x = 116,448.57

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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.