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Finding the Fourth Proportional to 188,212.90, 282,070.14 and 138,058.15

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Solution

The fourth proportional to 188,212.90, 282,070.14 and 138,058.15 is: 206,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,212.90 : 282,070.14 = 138,058.15 : x
  2. Step 2: Convert to fraction form
    188,212.90/282,070.14 = 138,058.15/x
  3. Step 3: Cross multiply
    188,212.90x = 282,070.14 × 138,058.15
  4. Step 4: Simplify right side
    188,212.90x = 38,942,081,698.64
  5. Step 5: Solve for x
    x = 38,942,081,698.64/188,212.90
  6. Step 6: Final answer
    x = 206,904.42

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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.