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Finding the Fourth Proportional to 129,585.90, 178,828.38 and 72,997.68

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Solution

The fourth proportional to 129,585.90, 178,828.38 and 72,997.68 is: 100,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,585.90 : 178,828.38 = 72,997.68 : x
  2. Step 2: Convert to fraction form
    129,585.90/178,828.38 = 72,997.68/x
  3. Step 3: Cross multiply
    129,585.90x = 178,828.38 × 72,997.68
  4. Step 4: Simplify right side
    129,585.90x = 13,054,056,858.16
  5. Step 5: Solve for x
    x = 13,054,056,858.16/129,585.90
  6. Step 6: Final answer
    x = 100,736.71

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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.