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Finding the Fourth Proportional to 232,310, 320,538.38 and 136,781.84

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Solution

The fourth proportional to 232,310, 320,538.38 and 136,781.84 is: 188,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,310 : 320,538.38 = 136,781.84 : x
  2. Step 2: Convert to fraction form
    232,310/320,538.38 = 136,781.84/x
  3. Step 3: Cross multiply
    232,310x = 320,538.38 × 136,781.84
  4. Step 4: Simplify right side
    232,310x = 43,843,829,407.02
  5. Step 5: Solve for x
    x = 43,843,829,407.02/232,310
  6. Step 6: Final answer
    x = 188,729.84

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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.