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Finding the Fourth Proportional to 129,532.80, 194,304 and 45,276.48

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Solution

The fourth proportional to 129,532.80, 194,304 and 45,276.48 is: 67,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,532.80 : 194,304 = 45,276.48 : x
  2. Step 2: Convert to fraction form
    129,532.80/194,304 = 45,276.48/x
  3. Step 3: Cross multiply
    129,532.80x = 194,304 × 45,276.48
  4. Step 4: Simplify right side
    129,532.80x = 8,797,401,169.92
  5. Step 5: Solve for x
    x = 8,797,401,169.92/129,532.80
  6. Step 6: Final answer
    x = 67,916.40

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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.