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Finding the Fourth Proportional to 209,216.73, 313,822.35 and 51,446.55

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Solution

The fourth proportional to 209,216.73, 313,822.35 and 51,446.55 is: 77,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,216.73 : 313,822.35 = 51,446.55 : x
  2. Step 2: Convert to fraction form
    209,216.73/313,822.35 = 51,446.55/x
  3. Step 3: Cross multiply
    209,216.73x = 313,822.35 × 51,446.55
  4. Step 4: Simplify right side
    209,216.73x = 16,145,075,651.28
  5. Step 5: Solve for x
    x = 16,145,075,651.28/209,216.73
  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.