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Finding the Fourth Proportional to 188,686.26, 282,351.02 and 138,642.03

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Solution

The fourth proportional to 188,686.26, 282,351.02 and 138,642.03 is: 207,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,686.26 : 282,351.02 = 138,642.03 : x
  2. Step 2: Convert to fraction form
    188,686.26/282,351.02 = 138,642.03/x
  3. Step 3: Cross multiply
    188,686.26x = 282,351.02 × 138,642.03
  4. Step 4: Simplify right side
    188,686.26x = 39,145,717,892.16
  5. Step 5: Solve for x
    x = 39,145,717,892.16/188,686.26
  6. Step 6: Final answer
    x = 207,464.59

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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.