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Finding the Fourth Proportional to 218,405.16, 327,581.82 and 128,501.64

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Solution

The fourth proportional to 218,405.16, 327,581.82 and 128,501.64 is: 192,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,405.16 : 327,581.82 = 128,501.64 : x
  2. Step 2: Convert to fraction form
    218,405.16/327,581.82 = 128,501.64/x
  3. Step 3: Cross multiply
    218,405.16x = 327,581.82 × 128,501.64
  4. Step 4: Simplify right side
    218,405.16x = 42,094,801,104.18
  5. Step 5: Solve for x
    x = 42,094,801,104.18/218,405.16
  6. Step 6: Final answer
    x = 192,737.21

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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.