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Finding the Fourth Proportional to 209,913.85, 314,684.30 and 81,800.48

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Solution

The fourth proportional to 209,913.85, 314,684.30 and 81,800.48 is: 122,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,913.85 : 314,684.30 = 81,800.48 : x
  2. Step 2: Convert to fraction form
    209,913.85/314,684.30 = 81,800.48/x
  3. Step 3: Cross multiply
    209,913.85x = 314,684.30 × 81,800.48
  4. Step 4: Simplify right side
    209,913.85x = 25,741,325,644.52
  5. Step 5: Solve for x
    x = 25,741,325,644.52/209,913.85
  6. Step 6: Final answer
    x = 122,628.05

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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.