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Finding the Fourth Proportional to 125,775.21, 188,662.82 and 86,212.38

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Solution

The fourth proportional to 125,775.21, 188,662.82 and 86,212.38 is: 129,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,775.21 : 188,662.82 = 86,212.38 : x
  2. Step 2: Convert to fraction form
    125,775.21/188,662.82 = 86,212.38/x
  3. Step 3: Cross multiply
    125,775.21x = 188,662.82 × 86,212.38
  4. Step 4: Simplify right side
    125,775.21x = 16,265,071,491.08
  5. Step 5: Solve for x
    x = 16,265,071,491.08/125,775.21
  6. Step 6: Final answer
    x = 129,318.58

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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.