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Finding the Fourth Proportional to 204,099.60, 306,105.66 and 63,840

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Solution

The fourth proportional to 204,099.60, 306,105.66 and 63,840 is: 95,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,099.60 : 306,105.66 = 63,840 : x
  2. Step 2: Convert to fraction form
    204,099.60/306,105.66 = 63,840/x
  3. Step 3: Cross multiply
    204,099.60x = 306,105.66 × 63,840
  4. Step 4: Simplify right side
    204,099.60x = 19,541,785,334.40
  5. Step 5: Solve for x
    x = 19,541,785,334.40/204,099.60
  6. Step 6: Final answer
    x = 95,746.32

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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.