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Finding the Fourth Proportional to 205,031.73, 307,401.78 and 78,564.81

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Solution

The fourth proportional to 205,031.73, 307,401.78 and 78,564.81 is: 117,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,031.73 : 307,401.78 = 78,564.81 : x
  2. Step 2: Convert to fraction form
    205,031.73/307,401.78 = 78,564.81/x
  3. Step 3: Cross multiply
    205,031.73x = 307,401.78 × 78,564.81
  4. Step 4: Simplify right side
    205,031.73x = 24,150,962,439.36
  5. Step 5: Solve for x
    x = 24,150,962,439.36/205,031.73
  6. Step 6: Final answer
    x = 117,791.34

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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.