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Finding the Fourth Proportional to 208,857.88, 313,183.95 and 75,718.18

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Solution

The fourth proportional to 208,857.88, 313,183.95 and 75,718.18 is: 113,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,857.88 : 313,183.95 = 75,718.18 : x
  2. Step 2: Convert to fraction form
    208,857.88/313,183.95 = 75,718.18/x
  3. Step 3: Cross multiply
    208,857.88x = 313,183.95 × 75,718.18
  4. Step 4: Simplify right side
    208,857.88x = 23,713,718,699.21
  5. Step 5: Solve for x
    x = 23,713,718,699.21/208,857.88
  6. Step 6: Final answer
    x = 113,539.98

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1.5x scale

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.