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Finding the Fourth Proportional to 202,788.86, 304,226.12 and 76,426.43

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Solution

The fourth proportional to 202,788.86, 304,226.12 and 76,426.43 is: 114,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,788.86 : 304,226.12 = 76,426.43 : x
  2. Step 2: Convert to fraction form
    202,788.86/304,226.12 = 76,426.43/x
  3. Step 3: Cross multiply
    202,788.86x = 304,226.12 × 76,426.43
  4. Step 4: Simplify right side
    202,788.86x = 23,250,916,264.35
  5. Step 5: Solve for x
    x = 23,250,916,264.35/202,788.86
  6. Step 6: Final answer
    x = 114,655.79

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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.