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Finding the Fourth Proportional to 205,234.40, 307,884 and 86,906.48

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Solution

The fourth proportional to 205,234.40, 307,884 and 86,906.48 is: 130,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,234.40 : 307,884 = 86,906.48 : x
  2. Step 2: Convert to fraction form
    205,234.40/307,884 = 86,906.48/x
  3. Step 3: Cross multiply
    205,234.40x = 307,884 × 86,906.48
  4. Step 4: Simplify right side
    205,234.40x = 26,757,114,688.32
  5. Step 5: Solve for x
    x = 26,757,114,688.32/205,234.40
  6. Step 6: Final answer
    x = 130,373.44

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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.