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Finding the Fourth Proportional to 129,744, 194,703.35 and 45,504.95

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Solution

The fourth proportional to 129,744, 194,703.35 and 45,504.95 is: 68,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,744 : 194,703.35 = 45,504.95 : x
  2. Step 2: Convert to fraction form
    129,744/194,703.35 = 45,504.95/x
  3. Step 3: Cross multiply
    129,744x = 194,703.35 × 45,504.95
  4. Step 4: Simplify right side
    129,744x = 8,859,965,005.54
  5. Step 5: Solve for x
    x = 8,859,965,005.54/129,744
  6. Step 6: Final answer
    x = 68,288.05

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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.