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Finding the Fourth Proportional to 129,813.84, 194,748.92 and 39,856.86

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Solution

The fourth proportional to 129,813.84, 194,748.92 and 39,856.86 is: 59,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,813.84 : 194,748.92 = 39,856.86 : x
  2. Step 2: Convert to fraction form
    129,813.84/194,748.92 = 39,856.86/x
  3. Step 3: Cross multiply
    129,813.84x = 194,748.92 × 39,856.86
  4. Step 4: Simplify right side
    129,813.84x = 7,762,080,240.31
  5. Step 5: Solve for x
    x = 7,762,080,240.31/129,813.84
  6. Step 6: Final answer
    x = 59,793.93

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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.