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Finding the Fourth Proportional to 281,929.82, 389,072.16 and 154,605.11

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Solution

The fourth proportional to 281,929.82, 389,072.16 and 154,605.11 is: 213,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,929.82 : 389,072.16 = 154,605.11 : x
  2. Step 2: Convert to fraction form
    281,929.82/389,072.16 = 154,605.11/x
  3. Step 3: Cross multiply
    281,929.82x = 389,072.16 × 154,605.11
  4. Step 4: Simplify right side
    281,929.82x = 60,152,542,149.38
  5. Step 5: Solve for x
    x = 60,152,542,149.38/281,929.82
  6. Step 6: Final answer
    x = 213,359.99

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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.