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Finding the Fourth Proportional to 217,101.30, 325,709.55 and 76,845.30

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Solution

The fourth proportional to 217,101.30, 325,709.55 and 76,845.30 is: 115,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,101.30 : 325,709.55 = 76,845.30 : x
  2. Step 2: Convert to fraction form
    217,101.30/325,709.55 = 76,845.30/x
  3. Step 3: Cross multiply
    217,101.30x = 325,709.55 × 76,845.30
  4. Step 4: Simplify right side
    217,101.30x = 25,029,248,082.62
  5. Step 5: Solve for x
    x = 25,029,248,082.62/217,101.30
  6. Step 6: Final answer
    x = 115,288.34

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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.