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Finding the Fourth Proportional to 214,701.60, 322,052.40 and 135,904.80

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Solution

The fourth proportional to 214,701.60, 322,052.40 and 135,904.80 is: 203,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,701.60 : 322,052.40 = 135,904.80 : x
  2. Step 2: Convert to fraction form
    214,701.60/322,052.40 = 135,904.80/x
  3. Step 3: Cross multiply
    214,701.60x = 322,052.40 × 135,904.80
  4. Step 4: Simplify right side
    214,701.60x = 43,768,467,011.52
  5. Step 5: Solve for x
    x = 43,768,467,011.52/214,701.60
  6. Step 6: Final answer
    x = 203,857.20

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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.