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Finding the Fourth Proportional to 129,814.96, 194,724.08 and 45,571.72

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Solution

The fourth proportional to 129,814.96, 194,724.08 and 45,571.72 is: 68,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,814.96 : 194,724.08 = 45,571.72 : x
  2. Step 2: Convert to fraction form
    129,814.96/194,724.08 = 45,571.72/x
  3. Step 3: Cross multiply
    129,814.96x = 194,724.08 × 45,571.72
  4. Step 4: Simplify right side
    129,814.96x = 8,873,911,251.02
  5. Step 5: Solve for x
    x = 8,873,911,251.02/129,814.96
  6. Step 6: Final answer
    x = 68,358.16

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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.