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Finding the Fourth Proportional to 202,789.11, 304,226.50 and 76,426.68

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Solution

The fourth proportional to 202,789.11, 304,226.50 and 76,426.68 is: 114,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,789.11 : 304,226.50 = 76,426.68 : x
  2. Step 2: Convert to fraction form
    202,789.11/304,226.50 = 76,426.68/x
  3. Step 3: Cross multiply
    202,789.11x = 304,226.50 × 76,426.68
  4. Step 4: Simplify right side
    202,789.11x = 23,251,021,171.95
  5. Step 5: Solve for x
    x = 23,251,021,171.95/202,789.11
  6. Step 6: Final answer
    x = 114,656.16

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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.