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Finding the Fourth Proportional to 129,932, 194,334.96 and 76,496.66

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Solution

The fourth proportional to 129,932, 194,334.96 and 76,496.66 is: 114,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,932 : 194,334.96 = 76,496.66 : x
  2. Step 2: Convert to fraction form
    129,932/194,334.96 = 76,496.66/x
  3. Step 3: Cross multiply
    129,932x = 194,334.96 × 76,496.66
  4. Step 4: Simplify right side
    129,932x = 14,865,975,361.23
  5. Step 5: Solve for x
    x = 14,865,975,361.23/129,932
  6. Step 6: Final answer
    x = 114,413.50

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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.