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Finding the Fourth Proportional to 218,099.36, 300,891.84 and 122,584.16

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Solution

The fourth proportional to 218,099.36, 300,891.84 and 122,584.16 is: 169,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,099.36 : 300,891.84 = 122,584.16 : x
  2. Step 2: Convert to fraction form
    218,099.36/300,891.84 = 122,584.16/x
  3. Step 3: Cross multiply
    218,099.36x = 300,891.84 × 122,584.16
  4. Step 4: Simplify right side
    218,099.36x = 36,884,573,457.25
  5. Step 5: Solve for x
    x = 36,884,573,457.25/218,099.36
  6. Step 6: Final answer
    x = 169,118.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.