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Finding the Fourth Proportional to 181,101.40, 271,457.70 and 68,738.20

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Solution

The fourth proportional to 181,101.40, 271,457.70 and 68,738.20 is: 103,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,101.40 : 271,457.70 = 68,738.20 : x
  2. Step 2: Convert to fraction form
    181,101.40/271,457.70 = 68,738.20/x
  3. Step 3: Cross multiply
    181,101.40x = 271,457.70 × 68,738.20
  4. Step 4: Simplify right side
    181,101.40x = 18,659,513,674.14
  5. Step 5: Solve for x
    x = 18,659,513,674.14/181,101.40
  6. Step 6: Final answer
    x = 103,033.51

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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.