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Finding the Fourth Proportional to 138,369.98, 207,607.22 and 54,190.24

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Solution

The fourth proportional to 138,369.98, 207,607.22 and 54,190.24 is: 81,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,369.98 : 207,607.22 = 54,190.24 : x
  2. Step 2: Convert to fraction form
    138,369.98/207,607.22 = 54,190.24/x
  3. Step 3: Cross multiply
    138,369.98x = 207,607.22 × 54,190.24
  4. Step 4: Simplify right side
    138,369.98x = 11,250,285,077.53
  5. Step 5: Solve for x
    x = 11,250,285,077.53/138,369.98
  6. Step 6: Final answer
    x = 81,305.82

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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.