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Finding the Fourth Proportional to 110,093.40, 151,991.91 and 72,477

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Solution

The fourth proportional to 110,093.40, 151,991.91 and 72,477 is: 100,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,093.40 : 151,991.91 = 72,477 : x
  2. Step 2: Convert to fraction form
    110,093.40/151,991.91 = 72,477/x
  3. Step 3: Cross multiply
    110,093.40x = 151,991.91 × 72,477
  4. Step 4: Simplify right side
    110,093.40x = 11,015,917,661.07
  5. Step 5: Solve for x
    x = 11,015,917,661.07/110,093.40
  6. Step 6: Final answer
    x = 100,059.75

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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.