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Finding the Fourth Proportional to 204,897.78, 307,401.39 and 64,659.06

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Solution

The fourth proportional to 204,897.78, 307,401.39 and 64,659.06 is: 97,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,897.78 : 307,401.39 = 64,659.06 : x
  2. Step 2: Convert to fraction form
    204,897.78/307,401.39 = 64,659.06/x
  3. Step 3: Cross multiply
    204,897.78x = 307,401.39 × 64,659.06
  4. Step 4: Simplify right side
    204,897.78x = 19,876,284,920.09
  5. Step 5: Solve for x
    x = 19,876,284,920.09/204,897.78
  6. Step 6: Final answer
    x = 97,005.86

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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.