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Finding the Fourth Proportional to 213,792.40, 320,469.90 and 125,000.20

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Solution

The fourth proportional to 213,792.40, 320,469.90 and 125,000.20 is: 187,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,792.40 : 320,469.90 = 125,000.20 : x
  2. Step 2: Convert to fraction form
    213,792.40/320,469.90 = 125,000.20/x
  3. Step 3: Cross multiply
    213,792.40x = 320,469.90 × 125,000.20
  4. Step 4: Simplify right side
    213,792.40x = 40,058,801,593.98
  5. Step 5: Solve for x
    x = 40,058,801,593.98/213,792.40
  6. Step 6: Final answer
    x = 187,372.43

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1.5x scale

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.