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Finding the Fourth Proportional to 129,921.18, 194,807.31 and 39,940.48

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Solution

The fourth proportional to 129,921.18, 194,807.31 and 39,940.48 is: 59,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,921.18 : 194,807.31 = 39,940.48 : x
  2. Step 2: Convert to fraction form
    129,921.18/194,807.31 = 39,940.48/x
  3. Step 3: Cross multiply
    129,921.18x = 194,807.31 × 39,940.48
  4. Step 4: Simplify right side
    129,921.18x = 7,780,697,468.91
  5. Step 5: Solve for x
    x = 7,780,697,468.91/129,921.18
  6. Step 6: Final answer
    x = 59,887.83

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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.