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Finding the Fourth Proportional to 204,617.88, 306,878.20 and 78,211.68

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Solution

The fourth proportional to 204,617.88, 306,878.20 and 78,211.68 is: 117,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,617.88 : 306,878.20 = 78,211.68 : x
  2. Step 2: Convert to fraction form
    204,617.88/306,878.20 = 78,211.68/x
  3. Step 3: Cross multiply
    204,617.88x = 306,878.20 × 78,211.68
  4. Step 4: Simplify right side
    204,617.88x = 24,001,459,577.38
  5. Step 5: Solve for x
    x = 24,001,459,577.38/204,617.88
  6. Step 6: Final answer
    x = 117,298.94

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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.