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Finding the Fourth Proportional to 129,781.68, 179,101.32 and 73,182

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Solution

The fourth proportional to 129,781.68, 179,101.32 and 73,182 is: 100,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,781.68 : 179,101.32 = 73,182 : x
  2. Step 2: Convert to fraction form
    129,781.68/179,101.32 = 73,182/x
  3. Step 3: Cross multiply
    129,781.68x = 179,101.32 × 73,182
  4. Step 4: Simplify right side
    129,781.68x = 13,106,992,800.24
  5. Step 5: Solve for x
    x = 13,106,992,800.24/129,781.68
  6. Step 6: Final answer
    x = 100,992.63

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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.