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Finding the Fourth Proportional to 201,051.62, 301,635.79 and 81,046.63

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Solution

The fourth proportional to 201,051.62, 301,635.79 and 81,046.63 is: 121,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,051.62 : 301,635.79 = 81,046.63 : x
  2. Step 2: Convert to fraction form
    201,051.62/301,635.79 = 81,046.63/x
  3. Step 3: Cross multiply
    201,051.62x = 301,635.79 × 81,046.63
  4. Step 4: Simplify right side
    201,051.62x = 24,446,563,310.18
  5. Step 5: Solve for x
    x = 24,446,563,310.18/201,051.62
  6. Step 6: Final answer
    x = 121,593.47

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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.