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Finding the Fourth Proportional to 281,048.25, 421,577.84 and 103,463.85

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Solution

The fourth proportional to 281,048.25, 421,577.84 and 103,463.85 is: 155,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,048.25 : 421,577.84 = 103,463.85 : x
  2. Step 2: Convert to fraction form
    281,048.25/421,577.84 = 103,463.85/x
  3. Step 3: Cross multiply
    281,048.25x = 421,577.84 × 103,463.85
  4. Step 4: Simplify right side
    281,048.25x = 43,618,066,401.08
  5. Step 5: Solve for x
    x = 43,618,066,401.08/281,048.25
  6. Step 6: Final answer
    x = 155,197.79

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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.