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Finding the Fourth Proportional to 131,803.56, 181,881.72 and 78,093.54

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Solution

The fourth proportional to 131,803.56, 181,881.72 and 78,093.54 is: 107,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,803.56 : 181,881.72 = 78,093.54 : x
  2. Step 2: Convert to fraction form
    131,803.56/181,881.72 = 78,093.54/x
  3. Step 3: Cross multiply
    131,803.56x = 181,881.72 × 78,093.54
  4. Step 4: Simplify right side
    131,803.56x = 14,203,787,376.09
  5. Step 5: Solve for x
    x = 14,203,787,376.09/131,803.56
  6. Step 6: Final answer
    x = 107,764.82

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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.