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Finding the Fourth Proportional to 129,890.72, 194,847.11 and 45,643.59

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Solution

The fourth proportional to 129,890.72, 194,847.11 and 45,643.59 is: 68,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,890.72 : 194,847.11 = 45,643.59 : x
  2. Step 2: Convert to fraction form
    129,890.72/194,847.11 = 45,643.59/x
  3. Step 3: Cross multiply
    129,890.72x = 194,847.11 × 45,643.59
  4. Step 4: Simplify right side
    129,890.72x = 8,893,521,373.31
  5. Step 5: Solve for x
    x = 8,893,521,373.31/129,890.72
  6. Step 6: Final answer
    x = 68,469.26

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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.