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Finding the Fourth Proportional to 218,991.92, 328,401 and 74,861.84

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Solution

The fourth proportional to 218,991.92, 328,401 and 74,861.84 is: 112,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,991.92 : 328,401 = 74,861.84 : x
  2. Step 2: Convert to fraction form
    218,991.92/328,401 = 74,861.84/x
  3. Step 3: Cross multiply
    218,991.92x = 328,401 × 74,861.84
  4. Step 4: Simplify right side
    218,991.92x = 24,584,703,117.84
  5. Step 5: Solve for x
    x = 24,584,703,117.84/218,991.92
  6. Step 6: Final answer
    x = 112,263.06

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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.