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Finding the Fourth Proportional to 193,299, 266,753.10 and 112,781.88

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Solution

The fourth proportional to 193,299, 266,753.10 and 112,781.88 is: 155,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,299 : 266,753.10 = 112,781.88 : x
  2. Step 2: Convert to fraction form
    193,299/266,753.10 = 112,781.88/x
  3. Step 3: Cross multiply
    193,299x = 266,753.10 × 112,781.88
  4. Step 4: Simplify right side
    193,299x = 30,084,916,113.83
  5. Step 5: Solve for x
    x = 30,084,916,113.83/193,299
  6. Step 6: Final answer
    x = 155,639.27

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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.