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Finding the Fourth Proportional to 255,422.43, 383,133.72 and 105,497.94

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Solution

The fourth proportional to 255,422.43, 383,133.72 and 105,497.94 is: 158,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,422.43 : 383,133.72 = 105,497.94 : x
  2. Step 2: Convert to fraction form
    255,422.43/383,133.72 = 105,497.94/x
  3. Step 3: Cross multiply
    255,422.43x = 383,133.72 × 105,497.94
  4. Step 4: Simplify right side
    255,422.43x = 40,419,818,204.54
  5. Step 5: Solve for x
    x = 40,419,818,204.54/255,422.43
  6. Step 6: Final answer
    x = 158,246.94

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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.