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Finding the Fourth Proportional to 129,929.82, 194,894.72 and 31,433.82

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Solution

The fourth proportional to 129,929.82, 194,894.72 and 31,433.82 is: 47,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,929.82 : 194,894.72 = 31,433.82 : x
  2. Step 2: Convert to fraction form
    129,929.82/194,894.72 = 31,433.82/x
  3. Step 3: Cross multiply
    129,929.82x = 194,894.72 × 31,433.82
  4. Step 4: Simplify right side
    129,929.82x = 6,126,285,390.26
  5. Step 5: Solve for x
    x = 6,126,285,390.26/129,929.82
  6. Step 6: Final answer
    x = 47,150.73

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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.