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Finding the Fourth Proportional to 230,883, 345,323.88 and 135,886.74

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Solution

The fourth proportional to 230,883, 345,323.88 and 135,886.74 is: 203,241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,883 : 345,323.88 = 135,886.74 : x
  2. Step 2: Convert to fraction form
    230,883/345,323.88 = 135,886.74/x
  3. Step 3: Cross multiply
    230,883x = 345,323.88 × 135,886.74
  4. Step 4: Simplify right side
    230,883x = 46,924,936,297.35
  5. Step 5: Solve for x
    x = 46,924,936,297.35/230,883
  6. Step 6: Final answer
    x = 203,241.19

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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.