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Finding the Fourth Proportional to 258,193.28, 387,192.48 and 100,401.92

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Solution

The fourth proportional to 258,193.28, 387,192.48 and 100,401.92 is: 150,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,193.28 : 387,192.48 = 100,401.92 : x
  2. Step 2: Convert to fraction form
    258,193.28/387,192.48 = 100,401.92/x
  3. Step 3: Cross multiply
    258,193.28x = 387,192.48 × 100,401.92
  4. Step 4: Simplify right side
    258,193.28x = 38,874,868,401.56
  5. Step 5: Solve for x
    x = 38,874,868,401.56/258,193.28
  6. Step 6: Final answer
    x = 150,564.99

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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.