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Finding the Fourth Proportional to 291,504.96, 437,286.33 and 81,142.83

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Solution

The fourth proportional to 291,504.96, 437,286.33 and 81,142.83 is: 121,722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,504.96 : 437,286.33 = 81,142.83 : x
  2. Step 2: Convert to fraction form
    291,504.96/437,286.33 = 81,142.83/x
  3. Step 3: Cross multiply
    291,504.96x = 437,286.33 × 81,142.83
  4. Step 4: Simplify right side
    291,504.96x = 35,482,650,336.51
  5. Step 5: Solve for x
    x = 35,482,650,336.51/291,504.96
  6. Step 6: Final answer
    x = 121,722.29

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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.