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Finding the Fourth Proportional to 281,172, 421,757.64 and 91,632.06

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Solution

The fourth proportional to 281,172, 421,757.64 and 91,632.06 is: 137,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,172 : 421,757.64 = 91,632.06 : x
  2. Step 2: Convert to fraction form
    281,172/421,757.64 = 91,632.06/x
  3. Step 3: Cross multiply
    281,172x = 421,757.64 × 91,632.06
  4. Step 4: Simplify right side
    281,172x = 38,646,521,373.94
  5. Step 5: Solve for x
    x = 38,646,521,373.94/281,172
  6. Step 6: Final answer
    x = 137,447.97

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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.