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Finding the Fourth Proportional to 136,909.75, 188,935.46 and 77,293.75

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Solution

The fourth proportional to 136,909.75, 188,935.46 and 77,293.75 is: 106,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,909.75 : 188,935.46 = 77,293.75 : x
  2. Step 2: Convert to fraction form
    136,909.75/188,935.46 = 77,293.75/x
  3. Step 3: Cross multiply
    136,909.75x = 188,935.46 × 77,293.75
  4. Step 4: Simplify right side
    136,909.75x = 14,603,530,211.38
  5. Step 5: Solve for x
    x = 14,603,530,211.38/136,909.75
  6. Step 6: Final answer
    x = 106,665.38

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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.