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Finding the Fourth Proportional to 129,372, 194,058 and 35,877.75

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Solution

The fourth proportional to 129,372, 194,058 and 35,877.75 is: 53,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,372 : 194,058 = 35,877.75 : x
  2. Step 2: Convert to fraction form
    129,372/194,058 = 35,877.75/x
  3. Step 3: Cross multiply
    129,372x = 194,058 × 35,877.75
  4. Step 4: Simplify right side
    129,372x = 6,962,364,409.50
  5. Step 5: Solve for x
    x = 6,962,364,409.50/129,372
  6. Step 6: Final answer
    x = 53,816.63

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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.