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Finding the Fourth Proportional to 209,863.70, 314,872.35 and 85,217.30

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Solution

The fourth proportional to 209,863.70, 314,872.35 and 85,217.30 is: 127,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,863.70 : 314,872.35 = 85,217.30 : x
  2. Step 2: Convert to fraction form
    209,863.70/314,872.35 = 85,217.30/x
  3. Step 3: Cross multiply
    209,863.70x = 314,872.35 × 85,217.30
  4. Step 4: Simplify right side
    209,863.70x = 26,832,571,511.66
  5. Step 5: Solve for x
    x = 26,832,571,511.66/209,863.70
  6. Step 6: Final answer
    x = 127,857.14

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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.