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Finding the Fourth Proportional to 232,168.60, 320,396.21 and 135,369.78

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Solution

The fourth proportional to 232,168.60, 320,396.21 and 135,369.78 is: 186,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,168.60 : 320,396.21 = 135,369.78 : x
  2. Step 2: Convert to fraction form
    232,168.60/320,396.21 = 135,369.78/x
  3. Step 3: Cross multiply
    232,168.60x = 320,396.21 × 135,369.78
  4. Step 4: Simplify right side
    232,168.60x = 43,371,964,460.53
  5. Step 5: Solve for x
    x = 43,371,964,460.53/232,168.60
  6. Step 6: Final answer
    x = 186,812.36

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1.5x scale

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.