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Finding the Fourth Proportional to 209,800.44, 289,520.92 and 114,307.80

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Solution

The fourth proportional to 209,800.44, 289,520.92 and 114,307.80 is: 157,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,800.44 : 289,520.92 = 114,307.80 : x
  2. Step 2: Convert to fraction form
    209,800.44/289,520.92 = 114,307.80/x
  3. Step 3: Cross multiply
    209,800.44x = 289,520.92 × 114,307.80
  4. Step 4: Simplify right side
    209,800.44x = 33,094,499,419.18
  5. Step 5: Solve for x
    x = 33,094,499,419.18/209,800.44
  6. Step 6: Final answer
    x = 157,742.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.