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Finding the Fourth Proportional to 204,605.84, 306,590.44 and 78,177.12

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Solution

The fourth proportional to 204,605.84, 306,590.44 and 78,177.12 is: 117,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,605.84 : 306,590.44 = 78,177.12 : x
  2. Step 2: Convert to fraction form
    204,605.84/306,590.44 = 78,177.12/x
  3. Step 3: Cross multiply
    204,605.84x = 306,590.44 × 78,177.12
  4. Step 4: Simplify right side
    204,605.84x = 23,968,357,618.73
  5. Step 5: Solve for x
    x = 23,968,357,618.73/204,605.84
  6. Step 6: Final answer
    x = 117,144.05

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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.