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Finding the Fourth Proportional to 129,679.80, 194,529.72 and 49,756.02

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Solution

The fourth proportional to 129,679.80, 194,529.72 and 49,756.02 is: 74,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,679.80 : 194,529.72 = 49,756.02 : x
  2. Step 2: Convert to fraction form
    129,679.80/194,529.72 = 49,756.02/x
  3. Step 3: Cross multiply
    129,679.80x = 194,529.72 × 49,756.02
  4. Step 4: Simplify right side
    129,679.80x = 9,679,024,638.91
  5. Step 5: Solve for x
    x = 9,679,024,638.91/129,679.80
  6. Step 6: Final answer
    x = 74,637.87

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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.