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Finding the Fourth Proportional to 258,822.92, 388,251.12 and 81,337.34

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Solution

The fourth proportional to 258,822.92, 388,251.12 and 81,337.34 is: 122,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,822.92 : 388,251.12 = 81,337.34 : x
  2. Step 2: Convert to fraction form
    258,822.92/388,251.12 = 81,337.34/x
  3. Step 3: Cross multiply
    258,822.92x = 388,251.12 × 81,337.34
  4. Step 4: Simplify right side
    258,822.92x = 31,579,313,352.82
  5. Step 5: Solve for x
    x = 31,579,313,352.82/258,822.92
  6. Step 6: Final answer
    x = 122,011.27

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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.