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Finding the Fourth Proportional to 204,066.57, 306,019.80 and 77,639.70

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Solution

The fourth proportional to 204,066.57, 306,019.80 and 77,639.70 is: 116,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,066.57 : 306,019.80 = 77,639.70 : x
  2. Step 2: Convert to fraction form
    204,066.57/306,019.80 = 77,639.70/x
  3. Step 3: Cross multiply
    204,066.57x = 306,019.80 × 77,639.70
  4. Step 4: Simplify right side
    204,066.57x = 23,759,285,466.06
  5. Step 5: Solve for x
    x = 23,759,285,466.06/204,066.57
  6. Step 6: Final answer
    x = 116,429.09

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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.