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Finding the Fourth Proportional to 129,991.74, 194,998.66 and 36,497.48

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Solution

The fourth proportional to 129,991.74, 194,998.66 and 36,497.48 is: 54,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,991.74 : 194,998.66 = 36,497.48 : x
  2. Step 2: Convert to fraction form
    129,991.74/194,998.66 = 36,497.48/x
  3. Step 3: Cross multiply
    129,991.74x = 194,998.66 × 36,497.48
  4. Step 4: Simplify right side
    129,991.74x = 7,116,959,693.38
  5. Step 5: Solve for x
    x = 7,116,959,693.38/129,991.74
  6. Step 6: Final answer
    x = 54,749.32

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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.