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Finding the Fourth Proportional to 255,755, 383,687.88 and 97,983.46

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Solution

The fourth proportional to 255,755, 383,687.88 and 97,983.46 is: 146,996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,755 : 383,687.88 = 97,983.46 : x
  2. Step 2: Convert to fraction form
    255,755/383,687.88 = 97,983.46/x
  3. Step 3: Cross multiply
    255,755x = 383,687.88 × 97,983.46
  4. Step 4: Simplify right side
    255,755x = 37,595,066,042.46
  5. Step 5: Solve for x
    x = 37,595,066,042.46/255,755
  6. Step 6: Final answer
    x = 146,996.41

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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.