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Finding the Fourth Proportional to 205,765.92, 308,678.45 and 63,622.28

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Solution

The fourth proportional to 205,765.92, 308,678.45 and 63,622.28 is: 95,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,765.92 : 308,678.45 = 63,622.28 : x
  2. Step 2: Convert to fraction form
    205,765.92/308,678.45 = 63,622.28/x
  3. Step 3: Cross multiply
    205,765.92x = 308,678.45 × 63,622.28
  4. Step 4: Simplify right side
    205,765.92x = 19,638,826,775.87
  5. Step 5: Solve for x
    x = 19,638,826,775.87/205,765.92
  6. Step 6: Final answer
    x = 95,442.56

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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.