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Finding the Fourth Proportional to 208,047.52, 311,950.84 and 81,539.92

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Solution

The fourth proportional to 208,047.52, 311,950.84 and 81,539.92 is: 122,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,047.52 : 311,950.84 = 81,539.92 : x
  2. Step 2: Convert to fraction form
    208,047.52/311,950.84 = 81,539.92/x
  3. Step 3: Cross multiply
    208,047.52x = 311,950.84 × 81,539.92
  4. Step 4: Simplify right side
    208,047.52x = 25,436,446,537.53
  5. Step 5: Solve for x
    x = 25,436,446,537.53/208,047.52
  6. Step 6: Final answer
    x = 122,262.68

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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.