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Finding the Fourth Proportional to 188,397, 259,872.48 and 111,864.12

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Solution

The fourth proportional to 188,397, 259,872.48 and 111,864.12 is: 154,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,397 : 259,872.48 = 111,864.12 : x
  2. Step 2: Convert to fraction form
    188,397/259,872.48 = 111,864.12/x
  3. Step 3: Cross multiply
    188,397x = 259,872.48 × 111,864.12
  4. Step 4: Simplify right side
    188,397x = 29,070,406,287.42
  5. Step 5: Solve for x
    x = 29,070,406,287.42/188,397
  6. Step 6: Final answer
    x = 154,303.98

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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.