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Finding the Fourth Proportional to 204,992.67, 307,459.28 and 78,664.71

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Solution

The fourth proportional to 204,992.67, 307,459.28 and 78,664.71 is: 117,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,992.67 : 307,459.28 = 78,664.71 : x
  2. Step 2: Convert to fraction form
    204,992.67/307,459.28 = 78,664.71/x
  3. Step 3: Cross multiply
    204,992.67x = 307,459.28 × 78,664.71
  4. Step 4: Simplify right side
    204,992.67x = 24,186,195,857.66
  5. Step 5: Solve for x
    x = 24,186,195,857.66/204,992.67
  6. Step 6: Final answer
    x = 117,985.66

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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.