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Finding the Fourth Proportional to 258,098.94, 386,997.74 and 100,142.88

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Solution

The fourth proportional to 258,098.94, 386,997.74 and 100,142.88 is: 150,155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,098.94 : 386,997.74 = 100,142.88 : x
  2. Step 2: Convert to fraction form
    258,098.94/386,997.74 = 100,142.88/x
  3. Step 3: Cross multiply
    258,098.94x = 386,997.74 × 100,142.88
  4. Step 4: Simplify right side
    258,098.94x = 38,755,068,237.09
  5. Step 5: Solve for x
    x = 38,755,068,237.09/258,098.94
  6. Step 6: Final answer
    x = 150,155.86

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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.