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Finding the Fourth Proportional to 144,912.10, 199,967.70 and 81,237.82

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Solution

The fourth proportional to 144,912.10, 199,967.70 and 81,237.82 is: 112,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,912.10 : 199,967.70 = 81,237.82 : x
  2. Step 2: Convert to fraction form
    144,912.10/199,967.70 = 81,237.82/x
  3. Step 3: Cross multiply
    144,912.10x = 199,967.70 × 81,237.82
  4. Step 4: Simplify right side
    144,912.10x = 16,244,940,018.41
  5. Step 5: Solve for x
    x = 16,244,940,018.41/144,912.10
  6. Step 6: Final answer
    x = 112,102.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.