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Finding the Fourth Proportional to 209,863.10, 314,833.05 and 85,216.70

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Solution

The fourth proportional to 209,863.10, 314,833.05 and 85,216.70 is: 127,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,863.10 : 314,833.05 = 85,216.70 : x
  2. Step 2: Convert to fraction form
    209,863.10/314,833.05 = 85,216.70/x
  3. Step 3: Cross multiply
    209,863.10x = 314,833.05 × 85,216.70
  4. Step 4: Simplify right side
    209,863.10x = 26,829,033,571.94
  5. Step 5: Solve for x
    x = 26,829,033,571.94/209,863.10
  6. Step 6: Final answer
    x = 127,840.64

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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.