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Finding the Fourth Proportional to 204,283.60, 306,214.06 and 77,889.84

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Solution

The fourth proportional to 204,283.60, 306,214.06 and 77,889.84 is: 116,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,283.60 : 306,214.06 = 77,889.84 : x
  2. Step 2: Convert to fraction form
    204,283.60/306,214.06 = 77,889.84/x
  3. Step 3: Cross multiply
    204,283.60x = 306,214.06 × 77,889.84
  4. Step 4: Simplify right side
    204,283.60x = 23,850,964,139.15
  5. Step 5: Solve for x
    x = 23,850,964,139.15/204,283.60
  6. Step 6: Final answer
    x = 116,754.18

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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.