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Finding the Fourth Proportional to 228,919.74, 343,428.82 and 77,131.90

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Solution

The fourth proportional to 228,919.74, 343,428.82 and 77,131.90 is: 115,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,919.74 : 343,428.82 = 77,131.90 : x
  2. Step 2: Convert to fraction form
    228,919.74/343,428.82 = 77,131.90/x
  3. Step 3: Cross multiply
    228,919.74x = 343,428.82 × 77,131.90
  4. Step 4: Simplify right side
    228,919.74x = 26,489,317,401.36
  5. Step 5: Solve for x
    x = 26,489,317,401.36/228,919.74
  6. Step 6: Final answer
    x = 115,714.43

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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.