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Finding the Fourth Proportional to 209,969.57, 315,084.97 and 85,310.57

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Solution

The fourth proportional to 209,969.57, 315,084.97 and 85,310.57 is: 128,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.57 : 315,084.97 = 85,310.57 : x
  2. Step 2: Convert to fraction form
    209,969.57/315,084.97 = 85,310.57/x
  3. Step 3: Cross multiply
    209,969.57x = 315,084.97 × 85,310.57
  4. Step 4: Simplify right side
    209,969.57x = 26,880,078,389.13
  5. Step 5: Solve for x
    x = 26,880,078,389.13/209,969.57
  6. Step 6: Final answer
    x = 128,018.92

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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.