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Finding the Fourth Proportional to 148,073.44, 204,342.96 and 81,004

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Solution

The fourth proportional to 148,073.44, 204,342.96 and 81,004 is: 111,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,073.44 : 204,342.96 = 81,004 : x
  2. Step 2: Convert to fraction form
    148,073.44/204,342.96 = 81,004/x
  3. Step 3: Cross multiply
    148,073.44x = 204,342.96 × 81,004
  4. Step 4: Simplify right side
    148,073.44x = 16,552,597,131.84
  5. Step 5: Solve for x
    x = 16,552,597,131.84/148,073.44
  6. Step 6: Final answer
    x = 111,786.40

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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.