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Finding the Fourth Proportional to 129,929.50, 194,894.28 and 48,891.78

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Solution

The fourth proportional to 129,929.50, 194,894.28 and 48,891.78 is: 73,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,929.50 : 194,894.28 = 48,891.78 : x
  2. Step 2: Convert to fraction form
    129,929.50/194,894.28 = 48,891.78/x
  3. Step 3: Cross multiply
    129,929.50x = 194,894.28 × 48,891.78
  4. Step 4: Simplify right side
    129,929.50x = 9,528,728,991.87
  5. Step 5: Solve for x
    x = 9,528,728,991.87/129,929.50
  6. Step 6: Final answer
    x = 73,337.69

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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.