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Finding the Fourth Proportional to 273,203.42, 409,805.13 and 86,229.50

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Solution

The fourth proportional to 273,203.42, 409,805.13 and 86,229.50 is: 129,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,203.42 : 409,805.13 = 86,229.50 : x
  2. Step 2: Convert to fraction form
    273,203.42/409,805.13 = 86,229.50/x
  3. Step 3: Cross multiply
    273,203.42x = 409,805.13 × 86,229.50
  4. Step 4: Simplify right side
    273,203.42x = 35,337,291,457.34
  5. Step 5: Solve for x
    x = 35,337,291,457.34/273,203.42
  6. Step 6: Final answer
    x = 129,344.25

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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.