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Finding the Fourth Proportional to 218,457.29, 327,723.29 and 100,138.77

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Solution

The fourth proportional to 218,457.29, 327,723.29 and 100,138.77 is: 150,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,457.29 : 327,723.29 = 100,138.77 : x
  2. Step 2: Convert to fraction form
    218,457.29/327,723.29 = 100,138.77/x
  3. Step 3: Cross multiply
    218,457.29x = 327,723.29 × 100,138.77
  4. Step 4: Simplify right side
    218,457.29x = 32,817,806,660.26
  5. Step 5: Solve for x
    x = 32,817,806,660.26/218,457.29
  6. Step 6: Final answer
    x = 150,225.28

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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.