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Finding the Fourth Proportional to 188,429.44, 282,028.80 and 138,496.32

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Solution

The fourth proportional to 188,429.44, 282,028.80 and 138,496.32 is: 207,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,429.44 : 282,028.80 = 138,496.32 : x
  2. Step 2: Convert to fraction form
    188,429.44/282,028.80 = 138,496.32/x
  3. Step 3: Cross multiply
    188,429.44x = 282,028.80 × 138,496.32
  4. Step 4: Simplify right side
    188,429.44x = 39,059,950,934.02
  5. Step 5: Solve for x
    x = 39,059,950,934.02/188,429.44
  6. Step 6: Final answer
    x = 207,292.19

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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.