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Finding the Fourth Proportional to 208,857.94, 312,892.35 and 161,880.82

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Solution

The fourth proportional to 208,857.94, 312,892.35 and 161,880.82 is: 242,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,857.94 : 312,892.35 = 161,880.82 : x
  2. Step 2: Convert to fraction form
    208,857.94/312,892.35 = 161,880.82/x
  3. Step 3: Cross multiply
    208,857.94x = 312,892.35 × 161,880.82
  4. Step 4: Simplify right side
    208,857.94x = 50,651,270,189.73
  5. Step 5: Solve for x
    x = 50,651,270,189.73/208,857.94
  6. Step 6: Final answer
    x = 242,515.42

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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.