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Finding the Fourth Proportional to 291,494.50, 437,241.75 and 81,137.91

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Solution

The fourth proportional to 291,494.50, 437,241.75 and 81,137.91 is: 121,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,494.50 : 437,241.75 = 81,137.91 : x
  2. Step 2: Convert to fraction form
    291,494.50/437,241.75 = 81,137.91/x
  3. Step 3: Cross multiply
    291,494.50x = 437,241.75 × 81,137.91
  4. Step 4: Simplify right side
    291,494.50x = 35,476,881,759.74
  5. Step 5: Solve for x
    x = 35,476,881,759.74/291,494.50
  6. Step 6: Final answer
    x = 121,706.87

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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.