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Finding the Fourth Proportional to 129,835.94, 194,753.90 and 31,339.94

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Solution

The fourth proportional to 129,835.94, 194,753.90 and 31,339.94 is: 47,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,835.94 : 194,753.90 = 31,339.94 : x
  2. Step 2: Convert to fraction form
    129,835.94/194,753.90 = 31,339.94/x
  3. Step 3: Cross multiply
    129,835.94x = 194,753.90 × 31,339.94
  4. Step 4: Simplify right side
    129,835.94x = 6,103,575,540.77
  5. Step 5: Solve for x
    x = 6,103,575,540.77/129,835.94
  6. Step 6: Final answer
    x = 47,009.91

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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.