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Finding the Fourth Proportional to 204,856.88, 307,285.32 and 64,626.40

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Solution

The fourth proportional to 204,856.88, 307,285.32 and 64,626.40 is: 96,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,856.88 : 307,285.32 = 64,626.40 : x
  2. Step 2: Convert to fraction form
    204,856.88/307,285.32 = 64,626.40/x
  3. Step 3: Cross multiply
    204,856.88x = 307,285.32 × 64,626.40
  4. Step 4: Simplify right side
    204,856.88x = 19,858,744,004.45
  5. Step 5: Solve for x
    x = 19,858,744,004.45/204,856.88
  6. Step 6: Final answer
    x = 96,939.60

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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.