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Finding the Fourth Proportional to 209,969.50, 315,084.87 and 85,310.50

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Solution

The fourth proportional to 209,969.50, 315,084.87 and 85,310.50 is: 128,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.50 : 315,084.87 = 85,310.50 : x
  2. Step 2: Convert to fraction form
    209,969.50/315,084.87 = 85,310.50/x
  3. Step 3: Cross multiply
    209,969.50x = 315,084.87 × 85,310.50
  4. Step 4: Simplify right side
    209,969.50x = 26,880,047,375.58
  5. Step 5: Solve for x
    x = 26,880,047,375.58/209,969.50
  6. Step 6: Final answer
    x = 128,018.82

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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.