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Finding the Fourth Proportional to 214,946.60, 322,419.90 and 136,149.80

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Solution

The fourth proportional to 214,946.60, 322,419.90 and 136,149.80 is: 204,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,946.60 : 322,419.90 = 136,149.80 : x
  2. Step 2: Convert to fraction form
    214,946.60/322,419.90 = 136,149.80/x
  3. Step 3: Cross multiply
    214,946.60x = 322,419.90 × 136,149.80
  4. Step 4: Simplify right side
    214,946.60x = 43,897,404,901.02
  5. Step 5: Solve for x
    x = 43,897,404,901.02/214,946.60
  6. Step 6: Final answer
    x = 204,224.70

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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.