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Finding the Fourth Proportional to 131,796.81, 181,882.68 and 75,213.45

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Solution

The fourth proportional to 131,796.81, 181,882.68 and 75,213.45 is: 103,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,796.81 : 181,882.68 = 75,213.45 : x
  2. Step 2: Convert to fraction form
    131,796.81/181,882.68 = 75,213.45/x
  3. Step 3: Cross multiply
    131,796.81x = 181,882.68 × 75,213.45
  4. Step 4: Simplify right side
    131,796.81x = 13,680,023,858.05
  5. Step 5: Solve for x
    x = 13,680,023,858.05/131,796.81
  6. Step 6: Final answer
    x = 103,796.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.