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Finding the Fourth Proportional to 136,269.46, 188,048.91 and 75,839.86

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Solution

The fourth proportional to 136,269.46, 188,048.91 and 75,839.86 is: 104,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,269.46 : 188,048.91 = 75,839.86 : x
  2. Step 2: Convert to fraction form
    136,269.46/188,048.91 = 75,839.86/x
  3. Step 3: Cross multiply
    136,269.46x = 188,048.91 × 75,839.86
  4. Step 4: Simplify right side
    136,269.46x = 14,261,603,007.55
  5. Step 5: Solve for x
    x = 14,261,603,007.55/136,269.46
  6. Step 6: Final answer
    x = 104,657.37

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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.