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Finding the Fourth Proportional to 209,216.72, 313,822.35 and 51,446.54

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Solution

The fourth proportional to 209,216.72, 313,822.35 and 51,446.54 is: 77,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,216.72 : 313,822.35 = 51,446.54 : x
  2. Step 2: Convert to fraction form
    209,216.72/313,822.35 = 51,446.54/x
  3. Step 3: Cross multiply
    209,216.72x = 313,822.35 × 51,446.54
  4. Step 4: Simplify right side
    209,216.72x = 16,145,074,082.17
  5. Step 5: Solve for x
    x = 16,145,074,082.17/209,216.72
  6. Step 6: Final answer
    x = 77,169.14

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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.