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Finding the Fourth Proportional to 281,102.16, 421,653.24 and 81,422.61

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Solution

The fourth proportional to 281,102.16, 421,653.24 and 81,422.61 is: 122,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,102.16 : 421,653.24 = 81,422.61 : x
  2. Step 2: Convert to fraction form
    281,102.16/421,653.24 = 81,422.61/x
  3. Step 3: Cross multiply
    281,102.16x = 421,653.24 × 81,422.61
  4. Step 4: Simplify right side
    281,102.16x = 34,332,107,315.76
  5. Step 5: Solve for x
    x = 34,332,107,315.76/281,102.16
  6. Step 6: Final answer
    x = 122,133.92

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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.