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Finding the Fourth Proportional to 214,971.60, 322,457.40 and 136,174.80

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Solution

The fourth proportional to 214,971.60, 322,457.40 and 136,174.80 is: 204,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,971.60 : 322,457.40 = 136,174.80 : x
  2. Step 2: Convert to fraction form
    214,971.60/322,457.40 = 136,174.80/x
  3. Step 3: Cross multiply
    214,971.60x = 322,457.40 × 136,174.80
  4. Step 4: Simplify right side
    214,971.60x = 43,910,571,953.52
  5. Step 5: Solve for x
    x = 43,910,571,953.52/214,971.60
  6. Step 6: Final answer
    x = 204,262.20

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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.